{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a href=\"https://colab.research.google.com/github/mlelarge/dataflowr/blob/master/CEA_EDF_INRIA/AE_filled_colab.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unsupervised learning with Autoencoder\n",
    "\n",
    "Some piece of codes taken from https://github.com/kevinzakka/vae-pytorch\n",
    "\n",
    "<img src='img/Autoencoder_structure.png'>\n",
    "\n",
    "Description given by [Wikipedia](https://en.wikipedia.org/wiki/Autoencoder)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "from torchvision import datasets, transforms\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading MNIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using gpu: False \n"
     ]
    }
   ],
   "source": [
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "\n",
    "print('Using gpu: %s ' % torch.cuda.is_available())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%mkdir data\n",
    "train_loader = torch.utils.data.DataLoader(\n",
    "    datasets.MNIST('data', train=True, download=True, transform=transforms.ToTensor()),\n",
    "    batch_size=256, shuffle=True)\n",
    "\n",
    "test_loader = torch.utils.data.DataLoader(\n",
    "    datasets.MNIST('data', train=False, download=True, transform=transforms.ToTensor()),\n",
    "    batch_size=10, shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def to_img(x):\n",
    "    x = x.cpu().data.numpy()\n",
    "    x = 0.5 * (x + 1)\n",
    "    x = np.clip(x, 0, 1)\n",
    "    x = x.reshape([-1, 28, 28])\n",
    "    return x\n",
    "\n",
    "def plot_reconstructions(model, conv=False):\n",
    "    \"\"\"\n",
    "    Plot 10 reconstructions from the test set. The top row is the original\n",
    "    digits, the bottom is the decoder reconstruction.\n",
    "    The middle row is the encoded vector.\n",
    "    \"\"\"\n",
    "    # encode then decode\n",
    "    data, _ = next(iter(test_loader))\n",
    "    if not conv:\n",
    "        data = data.view([-1, 784])\n",
    "    data.requires_grad = False\n",
    "    data = data.to(device)\n",
    "    true_imgs = data\n",
    "    encoded_imgs = model.encoder(data)\n",
    "    decoded_imgs = model.decoder(encoded_imgs)\n",
    "    \n",
    "    true_imgs = to_img(true_imgs)\n",
    "    decoded_imgs = to_img(decoded_imgs)\n",
    "    encoded_imgs = encoded_imgs.cpu().data.numpy()\n",
    "    \n",
    "    n = 10\n",
    "    plt.figure(figsize=(20, 4))\n",
    "    for i in range(n):\n",
    "        # display original\n",
    "        ax = plt.subplot(3, n, i + 1)\n",
    "        plt.imshow(true_imgs[i])\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "        \n",
    "        ax = plt.subplot(3, n, i + 1 + n)\n",
    "        plt.imshow(encoded_imgs[i].reshape(-1,4))\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "\n",
    "        # display reconstruction\n",
    "        ax = plt.subplot(3, n, i + 1 + n + n)\n",
    "        plt.imshow(decoded_imgs[i])\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Auto-Encoder\n",
    "\n",
    "We'll start with the simplest autoencoder: a single, fully-connected layer as the encoder and decoder."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class AutoEncoder(nn.Module):\n",
    "    def __init__(self, input_dim, encoding_dim):\n",
    "        super(AutoEncoder, self).__init__()\n",
    "        self.encoder = nn.Linear(input_dim, encoding_dim)\n",
    "        self.decoder = nn.Linear(encoding_dim, input_dim)\n",
    "\n",
    "    def forward(self, x):\n",
    "        encoded = F.relu(self.encoder(x))\n",
    "        decoded = self.decoder(encoded)\n",
    "        return decoded"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "input_dim = 784\n",
    "encoding_dim = 64\n",
    "\n",
    "model = AutoEncoder(input_dim, encoding_dim)\n",
    "model = model.to(device)\n",
    "optimizer = optim.Adam(model.parameters())\n",
    "loss_fn = torch.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why did we take 784 as input dimension? What is the learning rate?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "784 : number of pixels in MNIST\n",
    "Learning rate : adapted by Adam"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "loss_fn = torch.nn.MSELoss()\n",
    "\n",
    "def train_model(model,loss_fn,data_loader=None,epochs=1,optimizer=None):\n",
    "    model.train()\n",
    "    for epoch in range(epochs):\n",
    "        for batch_idx, (data, _) in enumerate(train_loader):\n",
    "            \n",
    "            data = data.view([-1, 784]).to(device)\n",
    "            optimizer.zero_grad()\n",
    "            output = model(data)\n",
    "            loss = loss_fn(output, data)\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            if batch_idx % 100 == 0:\n",
    "                print('Train Epoch: {} [{}/{} ({:.0f}%)]\\tLoss: {:.6f}'.format(\n",
    "                    epoch, batch_idx * len(data), len(data_loader.dataset),\n",
    "                    100. * batch_idx / len(data_loader), loss.data.item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "train_model(model, loss_fn, data_loader=train_loader, epochs=10, optimizer=optimizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+iHpRO/fccwEAxx9/fPAYX4//2sgSKZht27YBcLNknNUGXOTWH93uvlq1agDyzth9+OGHf+jvSdE6+eSTg58vueQS75jdHlPr9aOLue5sPh/+PGrUqAL/HbvlLCPz2M6HDx9+yOcpBfPWW28FP7NdMZKEESH5zWrz95gLEQBeffVVAMBRRx0FwM1Y8xosfxxzTQLunoKRl7feemtw7JZbbgEAzJo1C4DLH8NIBQBYsWIFAGDJkiV5Xqdp06YA3PdD9a/Fh7lGGK1VqVKl4BhXgnBlyMaNGwG47aIBV//8ztG6deuDvubs2bODn5kTqii2Cc6PIktERERERERERAwNloiIiIiIiIiIGHGxDKdMmTLBz0wCtGfPHgBuqUdRbA0kB2aTuDLkicuhyCZi0lZr8alGjRrBz6eccgoAtx03kyhJbHCJTFFiSOyxxx4L4MBbXDLZofrbwmOYKhM9nn/++cGxhQsXAgCmTJly0L9z3HHHAfBD/4888kgAeUPMi3O5lhScvXaGkyVrC/b4Z5cOsA1yGQ/7TCl+dhnjhRdeCMAtHebW7db06dMBuLqySetffPFFAG4JQceOHQH4SbSVtPePmTx5cvDzjTfeuN/nsa8cNGiQ929hsQ0yTUCvXr3+0N+RgrPLYcIbshzIvHnzAOS/DIdLmfmZmTt3bnAsvy2Li5IiS0REREREREREjLiILOEWboBLOsgtTLktmxS/YcOGBT9zOzb629/+BkBJXUuDvn37Bj8zceTrr78eo7OR4jZmzBgAfnK7sB9//BEA0KdPHwB+Yi4pHPaRTAQJAJ07dwZQsO2Es7OzAfhRJFWqVMn3uXbmRWInv60yOfP20EMPRft0pIj07NkTAHD55ZcHj3H2k0kMJTaYtJVtj4mV7Yw3I4JsRAndfvvtAIAmTZoAcJsa2CgiXg+lcGykwfz58wEATz/9NAAgOdl9La1Tpw6AvNF4hcXoWX4WmDgWAO64445D+ttSNEaOHAngwFE/TK5ckPukoqbIEhERERERERERo0RHlnC2bezYscFjW7duBQBMmDAhJud0ODvQ2sLrrrsOgPKUlAb16tXL8xi3WJTS4bXXXgt+Pvroow/6fG67qK1oD92yZcsAuDX1ANCyZUsAQKNGjQ76+/lt3/34448DAHr37u09zjwpEhu1a9cGkHe7YMBtY/n5559H9Zyk6Jxzzjl5HuOWs//+97+jfTqSD0aY2G2FC4J9JyMfGFly+umnB8851C3fD1c2vwT7v8aNG+d53plnngnA5UYcP348gLyR7QXFaM4TTzzxD/2+FK3+/fsHPzPax0YWEbeFZh6hWFBkiYiIiIiIiIiIUSIjS5g5ftq0aQCApKSk4BhnRD/55JPon5jsF0fYC7pLxpYtW7znc+Q4v4zllSpVAnDgyBaOVDOrOQD89ttvBToX8XXp0iXPY6+88koMzkTCODOS3xre8Czn7Nmzg59r1arlHbO/X5AdU4pjFx5xuIuY3U2sML7//vt8H+fOOQDw9ddf/6G/LX9cu3btAOTfXpnnS+IX+9wdO3YEj917772xOh0pBs899xwAF1ly0UUXBccYUa1I9+Lx9ttve2VGYNrIkpycHADAY489BgB4+OGHg2NDhgwBkH9kn8QOd7qxfWVGRob3HLtKgblKdu/eHYWzy58iS0REREREREREDA2WiIiIiIiIiIgYJWYZjl1qw22B69evDwD47rvvgmM22auUHP/9738L9fy//vWvAIC1a9cCAKpXrw7AD3H8I9atWxf8fOeddx7S3zrcnHzyyQCAGjVqxPhMZH9mzpwJAJg0aVKeY0wsmN+ymgMttdnfsVmzZv2RU5QY4PIsux0xoKU3scYlxRa3fr7//vujfTpSRBgWzvuWX375JTimxK6lC6+PvOZ27do1OMZt4J999lkAwPLly6N8doeXv//97wD8e3smBB0wYAAAP0l6+/bt8/07TK4tscFl3eXLl89zjEsauewNAD766KPonNgBKLJERERERERERMQoMZElDRs2DH4Ob+tkE3vaKBOJLrvdqB1d/yN69ux50OcwcVN+M98LFiwAkHfbxQ8++OCQzutw1r17dwB+lNcXX3wBAHj//fdjck7i49ZpI0aMCB6rWrXqIf3NDRs2AACWLl0KALjqqqsAuKgvKfkikYj3r5QMHTt2zPPYqlWrALgk5xJ/GFnC9rZw4cI8z+GsaeXKlQG4epf4xOTbt956a/DYPffcAwCYOHEiAOCyyy4Ljmnb9qLHexQm3QWACy+80HuO3dqZuAEE2+no0aOL6xTlANgnjhw5cr/PeeqppwAA7733XjROqcAUWSIiIiIiIiIiYsQ8sqRevXoA3Fo0i7OnXIsvsdWjR4/gZ44Mcsvf/DRt2hTAgfOQzJkzBwDw448/5jn2wgsvAACWLVtW6HOVgitbtiwAoFOnTnmOPf/88wDcyLzE1sqVKwEAvXr1Ch7r1q0bAGDw4MF/6G9y/e+MGTMO8ewkVtLT072yZjVji9dFGzFLu3btAgDs3bs3quckxcdeH3v37g0AGDp0KABgyZIlAIA+ffpE/8SkyM2bNy/4eeDAgQDcvbHdQriwefzk4Hhd45bAgNtytlWrVgCAatWqBcf4veKJJ54AAIwfPz4KZylhrKNvvvkGQP7fG9lebN2WJIosERERERERERExNFgiIiIiIiIiImLEfBkOkwnWrVs3z7FFixYBUNK6kii/rUv355JLLinGM5FDxXDwTZs2AXDJcwFtb1lS2YS7/JlLGdmncns2wNXp7NmzAfhbzDI0UuLXFVdcAQDYvHkzAOD222+P5ekc9piUnAnIjzvuuODYihUrYnJOUnz69+8f/HzllVcCAB599FEAaoulDROiA0CHDh0AuOUeo0aNCo5xOZYUvfXr1wc/8z6HyXXbtm0bHLvtttsA+Ft7S/SdccYZAIDatWsDyP87PZctcplqSaPIEhERERERERERI2aRJSeffDIA4Prrr4/VKYgIXGRJu3btYnwmcijeeOMN7185fPzrX/8CAEyZMgUA8O6778bydA57TPg5ZswYAP5M2uLFi2NyTlJ0rrvuOgAuoaeN9Js5cyYAF6m5Z8+eKJ+dRAu3g37rrbcAAOedd15w7NhjjwWgyM1oYRJX/islB6PrwhEl3HobKPn3LIosERERERERERExYhZZcsoppwBwWwpZ3333HQBg+/btUT0nERGReGPz00jJsWbNGgBAv379YnwmUpQ+/PBDAG4tvhzeLrjgAgDAl19+GTzWqFEjAIosEcnMzATgcuUxh8x9990Xs3MqLEWWiIiIiIiIiIgYMd8Nh+yI7JlnngkA+PXXX2N1OiIiIiIiIvu1detWAED9+vVjfCYiJQ9zqfFf5jBZu3ZtzM6psBRZIiIiIiIiIiJiaLBERERERERERMRICG/l4x1MSNj/wcPD4kgk0irWJ3GoVI/xX4+qw/ivQ0D1iFJQj6rD+K9DQPWIUlCPqsP4r0NA9YhSUI+qw/ivQ0D1iP3UoyJLRERERERERESMgyV4zQawMhonUkLVi/UJFBHVY/xTHZYOqsf4pzosHVSP8U91WDqoHuOf6rB0UD3m44DLcEREREREREREDjdahiMiIiIiIiIiYmiwRERERERERETE0GCJiIiIiIiIiIihwRIREREREREREUODJSIiIiIiIiIihgZLREREREREREQMDZaIiIiIiIiIiBgaLBERERERERERMTRYIiIiIiIiIiJiaLBERERERERERMTQYImIiIiIiIiIiJEcyxdPS0uLlC1bNihv27bNO16zZk2vvHv3bq+8YcOG7EgkUrX4zlAKomzZspGKFSsG5XXr1nnHq1Wr5pX37dvnlbOzs1WPMVa+fPlIVlZWUF69erV3PDU11StXrlzZK69Zs0Z1WAKUL18+UqVKlaD8888/e8cbNWrklcN97urVq1WPMZaRkRHJzMwMymvWrPGOV63qV096erpX/vHHH1WHJUC4Tw3XY5kyZbxyRkaGV1afGnuVK1eO1KpVKyh///333vHq1at75dzcXK+s/rRkKFeunNen/vLLL97xcD0mJ/tfjX744QfVY4xlZWVF6tatG5S/+eab8HGvbO+DAOCrr75SHZYAFSpUiNh7mPA9avj+JnxdXLZsWUzqMaaDJWXLlsWZZ54ZlN966y3v+NChQ73yihUrvPLMmTNXFt/ZSUFVrFgRffv2DcqTJ0/2jvfu3dsrh7+gPfLII6rHGMvKysKtt94alEeOHOkdr1Onjlfu3r27Vx43bpzqsASoUqUKJkyYEJTHjBnjHX/yySe98vvvv++Vhw4dqnqMsczMTIwYMSIo33bbbd5x29cCQJMmTbxynz59VIclQFZWFsaNGxeUb7nlFu94ixYtvHK7du288tixY1WPMVarVi08/fTTQfnSSy/1jg8ZMsQrb9682SsPHz5cdVgCZGZm4sYbbwzKDzzwgHc8XI/hyaDLLrtM9RhjdevWxbvvvhuUjz/+eO/45Zdf7pX79+8f/n3VYQlQtWpVTJo0KSiPGjXKOz5o0CCvHL4unnTSSTGpRy3DERERERERERExNFgiIiIiIiIiImLEdBlOuXLl0Lp166D86aefesd37drllcMhjlIypKene6HgRx99tHc8vIQjvLzqkUceKb6TkwJJSkpChQoVgnK47YVD/6+66iqvbMPNJXbS09PRuHHjoFy+fHnveKVKlbxyOFQ13DYl+nbv3u0tOQ2vxV650o9Cte1WSo5wn7plyxbveJs2bbzyueee65XHjh1bfCcnBbJjxw78+9//DsrhJcQ//fSTV966dWtUzksKJykpCTavXkpKinc83Kf27NkzKuclBZebm4vt27cH5XLlynnHW7Zs6ZXDS6mkZEhPT/dy5+3du9c7ftppp3nlhISEqJzXwSiyRERERERERETE0GCJiIiIiIiIiIihwRIRERERERERESOmOUv27dvnrQG9+OKLveNly5b1ys8880xUzksKJxKJIDc3Nyifcsop3vHwnvX169ePynlJwW3duhVvvvlmUH7++ee949OmTfPKEydOjMp5SeFs2bIFr732WlAObx3coEEDr2zXjkrJkJub6+U+ePTRR73j4dxdAwYMiMp5SeFs377d25p7zpw53vH777/fK0+ePDkq5yUFF847061bN+94dna2V37hhReicl5SOLt378by5cuDcseOHb3jGRkZXvmYY46JynlJwe3YsQOffPJJUH7jjTe849WqVfPKzZo1i8p5SeFEIhFEIpGg/Pbbb3vHw/kSzzjjjKic18EoskRERERERERExNBgiYiIiIiIiIiIocESEREREREREREjwa4dirakpKRIenp6UA7vtxzOddGnTx+vPGvWrMWRSKRV8Z2hFERKSkqkUqVKQTm8//nu3bu98ogRI7zysGHDVI8xlpqaGqlevXpQtrmEgLx1GF5vP3DgQNVhCZCWlhapXbt2UN63b593PCkpySv369fPK48ZM0b1GGPh/jS8nn7nzp1eeejQoV559OjRqsMSINynhustnHtm/PjxXnns2LGqxxhLTEyMpKamBuUjjzzSO75lyxavHM7tdeGFF6oOS4DwdTGcFyEzM9Mrn3baaV55xowZqscYC9dhWPieddiwYV5Z18WSoUyZMhHbj27fvv2Azw/ngWrTpk1M6lGRJSIiIiIiIiIihgZLREREREREREQMDZaIiIiIiIiIiBjJB39K8alevToGDBgQlDdu3Ogdf+SRR7zyjh07onJeUji1a9fGhAkTgvI333zjHX/ooYe88llnnRWV85KCC9fhO++84x1fuHChVz7YOkOJjRo1ang5gVJSUrzjgwYNyvN8KVkyMzPRq1evoBzO5TVv3jyv/PHHH0flvKRw6tSpg4kTJwblDz/80Ds+d+7cKJ+RFFadOnVw0003BeWcnBzv+A033OCVc3Nzo3JeUjjlypXDn/70p6DcsmVL73g4X9CJJ54YjdOSQmjYsKF37Qvnspg9e7ZXvv76673y6NGji+/kpMDq1auHhx9+OCh/8MEH3vFJkyZ55fC4QKwoskRERERERERExNBgiYiIiIiIiIiIocESEREREREREREjpjkGwS3wAAAgAElEQVRLcnNzvb2xq1Wr5h1/5ZVXvHLHjh2jcl5SODt27PDWzZcrV847fuaZZ3rlk046KSrnJQW3c+dOfP3110G5c+fO3vE5c+Z45dTU1KiclxROWloa7B7269ev944/88wzXrl///7ROC0phJSUFNSsWTMoZ2VleccrVarkladOnRqV85LC2bZtG957772g3LRp0zzHLfWpJc/u3bvxww8/BOVwrou7777bK1999dVROS8pnHLlyqF169ZBuXLlyt7xcF696667LirnJQX366+/4q9//WtQ7tGjh3e8d+/eXvnoo4+OynlJ4SQnJyMzMzMoh/MDbdq0yStXrFgxKud1MIosERERERERERExNFgiIiIiIiIiImJosERERERERERExEiIRCKxe/GEhEhyskubEl6D9tJLL3nllJQUr/zbb78tjkQirYrvDKUgEhISvA/RxIkTcaByTk6OV961a5fqMcYSExMjtn2F2+Jrr73mlcP5hVasWKE6LAESExMj6enpQTmca2bUqFFeeevWrV558+bNqscYS05OjmRkZATlIUOGeMdnzpzplZOSkrzy2rVrVYclQEJCQiQhISEo9+vXzzs+f/58r1y7dm2vvGzZMtVjjCUmJkZsLpnPP//cO/6Xv/zFK+/evdsrb9q0SXVYAqSkpERsrqehQ4d6x6dMmeKVt2/f7pV3796teoyxtLS0SK1atYLyrFmzvOM33nijVw7nhPrpp59UhyVAUlJSxOa1DOd9Otj3xfXr18ekHhVZIiIiIiIiIiJiaLBERERERERERMTQYImIiIiIiIiIiJF88KcUn8zMTHTq1Cko169f3ztepkwZr9y5c2ev/MwzzxTfyUmBZWVl4dxzzw3KTZs29Y7b9WkA0KFDB6/81FNPFd/JSYHUrVsXt9xyS1Bu3ry5d/yjjz7yymeeeaZXXrFiRfGdnBTYUUcdhQcffDAoly9f3juem5vrlRcsWOCVTz311OI7OSmQsmXLonXr1kF55cqV3nGbzwQAevfu7ZVvv/324js5KbB69eph3LhxQblq1are8TfeeMMrn3baaV552bJlxXdyUiA1atTAlVdeGZTvv/9+77jNZwIAgwcP9so33XRT8Z2cFFiDBg286+LOnTu94zafCQB0797dKz/yyCPFd3JSIBUrVkSXLl2Ccrh/DOcLev/9971y+PulxEbLli3x6aefBuVnn33WO25z7gHA8OHDvfI111xTfCd3AIosERERERERERExNFgiIiIiIiIiImJosERERERERERExIhpzhIAiEQiwc933HGHd2zgwIFeObxWW0qGGjVqYNSoUUG5bdu23vGnn37aK2/ZssUrK2dJ7JUrVw5t2rQJynZtKABccsklXnnr1q1ROS8pnOTkZFSpUiUod+vWzTu+evVqrzxz5syonJcUXMWKFXHWWWcF5alTp3rHbW4hQLktSqpy5cqhVatWQbljx47e8euuu84r//bbb1E5Lym4pKQkVKxYMSg/+uij3vEjjjjCK+/atSsq5yWFk5OTg+zs7KA8dOhQ7/jjjz/ulcO5vpSzJPbq1q2L6dOnB+VwDpLPP//cK48ePToq5yWFs2HDBu++M/y9/9VXX/XKmZmZUTmvg1FkiYiIiIiIiIiIocESERERERERERFDgyUiIiIiIiIiIkZMc5Zs27YNixYtCsq9evXyjv/www9euWvXrlE5LymcZcuW4eSTTw7KB1uLvWrVqqiclxTc0qVL0bp166Bsc9AAQNmyZb3yRRdd5JWV+6Jk+P77771+9J577vGOh9eDnnLKKVE5Lym4DRs2YNasWUH5nHPO8Y6H22Lz5s2jcl5SOMuWLcNJJ50UlEeMGOEd37x5s1c+9dRTo3JeUnAbNmzAww8/HJRtuwR+z0tjffvtt1E5LymclStX4uqrrw7Kt956q3e8UqVKXnn+/PlROS8puCVLlqBJkyZBeeLEid7xjRs3euULLrjAKyvvTMmwfv16TJkyJSjPmDHDO/7uu+965fC4QKwoskRERERERERExNBgiYiIiIiIiIiIocESEREREREREREjpjlLMjMzcckllwTl++67zzsezpuwZMmSqJyXFE5WVpaXw2LatGne8WuvvdYr7927NyrnJQVXpUoVXHjhhUH5oYce8o5fddVVXvmJJ56IynlJ4dStW9dbA3rllVd6x4cNG+aVly5dGpXzkoI77rjj8Pnnnwfl6tWre8cbN27slcO5L6RkyMzMRLdu3YJyOK+T7W8BYPHixVE5Lym4hg0bevkrmjVr5h0fPXq0V65fv35UzksKp2XLll6fWqtWLe943759vfJZZ53lle+9995iOzcpmMaNG+PNN98MyjZPIgC89957Xnn9+vXROC0ppEaNGnl9ap8+fbzjd999t1fOzMyMynkdjCJLREREREREREQMDZaIiIiIiIiIiBgaLBERERERERERMWKas2Tv3r1Ys2ZNUB4zZox3fPr06V45vG+2lAy7d+/GqlWrgvJnn33mHe/cubNXvuKKK6JyXlJwZcqUQfPmzYNyeG12eB3h//73P688derU4js5KbCtW7finXfeCcovvviidzzch4bzKEjsrVixAl26dAnKNgcNkDcPTadOnaJyXlI45cqVQ+vWrYNygwYNvOPhtmfXcQPA+PHji+3cpGB27drl5cpbu3atd7xJkyZeedKkSVE5LymclStXYuDAgUF50KBB3vH27dt75aFDh0bjtKQQcnNzsWnTpqA8efJk73j37t298jnnnBOV85LC2b59Oz766KOgbO9XAeDEE0/0yuFcNLGiyBIREREREREREUODJSIiIiIiIiIihgZLRERERERERESMhEgkErMXT0lJidg9lJs2beodt+t9gbx5ExISEhZHIpFWxXeGUhDJycmRihUrBuWuXbt6x8P7ZJ9//vleuV27dqrHGEtISIgkJSUF5QEDBnjHc3NzvXK4Tv/v//5PdVgCpKWlRWrUqBGUw2uvU1NTvfLZZ5/tlRs2bKh6jLFwf3rppZd6x/fs2eOVba4hABg0aJDqsARITEyMpKSkBOVwrpmcnByvnJWV5ZXvvvtu1WOMpaamRqpUqRKUe/Xq5R2/5pprvPJRRx3llXWPWjKkp6dHateuHZTD3y06dOjgle01FAA6d+6seoyxlJQUry0++uij3vFvvvnGK4fvbZo1a6Y6LAHKli0bOfroo4Ny7969veN9+vTxyvZeCADS0tJiUo+KLBERERERERERMTRYIiIiIiIiIiJiaLBERERERERERMSIac6ShISESHJysi17x8uXL++Vf/vtN6+8a9curUErAVJTU708CdnZ2d7xMmXKeOVff/01/CdUjzGWnJwcqVSpUlDet2+fd3zHjh1euWrVql75559/Vh2WAOF63Lhxo3e8WrVqXjmcw2T16tWqxxhLTk6OZGRkBOXwdTGc2+K7774L/wnVYQmQkpLitcVwrpmtW7d65cqVK3vlTZs2qR5jLDU1NWL7zPC9S7ly5Q74+9nZ2arDEiApKSli70NtfjYgb16EcL0uW7ZM9RhjKSkpEXvtC3+vCN+zrlq1KvwnVIclQFpampc/6Pvvv/eOh+9v7HMB4Msvv1TOEhERERERERGRWNNgiYiIiIiIiIiIocESEREREREREREj+eBPKT5ly5bFMccc45WtDz/80CsfbH2oxEZWVhYuvfTSoPzTTz95x1955RWvnM/a7OI7OSmQ6tWrY+DAgUE5nOvi2Wef9co5OTlROS8pnJo1a+LGG28MyuG2NnLkSK8cXucrsVelShX06dMnKNt8UABw0003eeUKFSp45XAuDImNatWq4eqrrw7Kv/zyi3f8pZde8srh3DS6LsZe9erVMXjw4KBcr14977jtawFg3bp1UTkvKZxq1aqhb9++Qblhw4be8RtuuMErr127NhqnJYXQsGFDPPzww/s93qtXL68cvm6qbZYMDRo0wNy5c4Ny+Hv/qaee6pVXrlwZjdM6KEWWiIiIiIiIiIgYGiwRERERERERETE0WCIiIiIiIiIiYiREIpHYvXhCgvfi4ZwkKSkpXjm8rnDChAnaN7sECO9/Hpadne2VJ02a5JWHDRumeoyxxMTESGpqalDevXu3dzwjI8MrT5061SsPGDBAdVgCpKWlRWrWrBmUt2/f7h1PTvbTVP3vf//zyhUqVFA9xlhqamqkWrVqQTncFvfs2eOV27dv75UXLFigOiwBEhMTI/YeJlxv4bXad999t1e+4YYbVI8xlpaWFqlVq1ZQDrfF8L3NHXfc4ZVHjRqlOiwBwn3qzp07veO//vqrV37++ee98gUXXKB6jLGUlJSIzcEW/s4RzpW4aNEir9yqVSvVYQkQbovhvHnh8ooVK7xy+fLlY1KPiiwRERERERERETE0WCIiIiIiIiIiYmiwRERERERERETEiHXOkg0ADmUT5XqRSKRqUZ2P/DGqx/inOiwdVI/xT3VYOqge45/qsHRQPcY/1WHpEK/1GNPBEhERERERERGRkkbLcEREREREREREDA2WiIiIiIiIiIgYGiwRERERERERETE0WCIiIiIiIiIiYmiwRERERERERETE0GCJiIiIiIiIiIihwRIREREREREREUODJSIiIiIiIiIihgZLREREREREREQMDZaIiIiIiIiIiBgaLBERERERERERMZIPdDAlJSWSlpbmPZaamvr7Lyb//qv79u0DAKSnpwfP2bFjBwCgSpUqAICtW7e6F/z/v7d3717v7yYkJOR5ff7NSCQSPLZnzx4AQG5urvd75cuXz3OOGzdu9J4LAJUrVwYArFmzBgCQlJQEAEhMdONGWVlZAIAffvghOxKJVM1zYnEmLS0tkpGRgZycHPsYAPf/5ntUrly54Dnbt28HAFSrVg0AsG3btuCYfb8AV5/8PACursuUKeM9B3B1umvXLgBASkoKACAzMzPP+f/6668AgN27dwePVa9eHQCwYsUK7zXs56hWrVoAgCVLlsR9PaampkbS09O995DvL+uSx/i4fSwjIwOAe7/t81hn4X8BV8+sH/v+8m/zc8XnsP3Z12CfYD+DbLMbNmzwXottEgAqVqwIAFizZk3c1yHwez2WKVMm6McAoGzZsgBcf8c64v8dALZs2QIAqFevHgD3ngGu/vne8vfzq8dKlSoB8PtUPn/nzp3e36tatWqe31+7di0Avy3ynJYsWQIg/89KgwYNAABffvll3Ncj26K9rvA94+edx+x1ke8v+zjbn4avf6xL+zjrgH/T1i+fH+4DKlSokOc1+Fmydchz4nWRdWjxOvDdd9/FfR0Crh5tn8T3je9xfn0q2y7b52+//RYc4/vGuuHnwNYV+zc+115L+bfDfaq9D+Nj/PzYawLb988//+z9bdsn8x5o1apVcV+P7E9tf8b/K//vPHage9TNmzcHx+zzANdObD2xPtl329dn3bEueT68Btu/xbZo65D3n6tXr/aea6+L7JuXL18e93UI/H6PWrZsWe/+hO8X+638vmuwbth/2e8abCfh+xTbp/Jn1mN+fSr7bdajvS6zbjZt2gTA/67Btsg+lX2I7Ut43itWrIj7emQd2s8y6yp8XbTXJba9mjVreuX8fs/eNxHbBT8v+X1f5OeK/Sj7QPv7v/zyCwD/ushzWrp0qff7tg5r164NoHR8zwDcddG+1/xeyO9ZvObxMw64tlenTh0AwPr16/P8Pt/b8Pd/i58NW49sgzwnfq5sW2T7ZHuz9chzWr58OQDXbm091q1bFwDw1Vdf5VuPBxwsSUtLQ7NmzbyT5h8Mf4Fu2rRp8JyPP/4YANCvXz8AwNtvvx0c44WAH0w2AnvS/PmYY47J85/mBYQNim/QySefHDyHN+/z5s3zngsAF154IQDgtttuA+DebNsBX3rppQCAyy67bGWeNyUOZWRkoGPHjkGHDgCNGjUC4C4SHJBo3bp18JyPPvoIADB48GAAfj3y99jR8EsUb0IAd0E/9thjvecArrH873//A+AGP3r16hU8hx/op59+GoAbGAGAYcOGAQDOO+88AMBxxx0HwL8pHDduHACgadOmcV+P6enpaNWqlfclmR0Vv4jymB1wWrduHQDXPr799tvgGC8Y7IjCX5r5uoAbeLLtNNwWWYfsmAD3GWCfYNviaaedBgCYOXMmANcR2/Pv2LEjAGDcuHFxX4fA7//Htm3bYtWqVcFjf/rTnwAAjRs3BgB88803AIBzzz03eM7ChQsBALNnzwYAzJo1KzjWsGFDAK7+2aZsW+R72717dwB+n7ps2TLvdfn3+vfvHzyHNyK33347AOD7778Pjj300EMA3DWgRo0aAPwv3M899xwAoGrVqnFfj+np6WjTpo13Y37kkUcCcJ9dDjQ3adIkeM5//vMfAMAll1wCAHj//feDY+GBS9alvS6xDvk5sXXI57O9s92deeaZwXNYH6+//joAvw4vvvhiAMD48eO937euv/56AECPHj3ivg4B16dyUgVw9ydHH300AHfDx/sdAPjxxx8BAJ06dQIALF68ODh2xBFHAHB9Kfs72xZ5M8ibbNar/ds8J/a77OPtY7wes84BoGvXrgCAW265BYC7SeXvAO4aO3DgwLivxzJlyuDPf/6z9yWbbZH3KGwnvA8BgM8++wwA0KdPHwDAyy+/HBxjP8Z7U7YTO5HE12vRooX3XMC1xZUrf39769evDwBo27Zt8Bz+rVdffRWAX4eXXXYZAGDkyJEAXN9rJwSvvfZaAED79u3jvg6B3+vq9NNPD77MAO79Yh/IPtXWI5/PPvWdd94JjvE6xPsU3v/aQSfeL5544okA/Hsftv3//ve/AFwb5D0J4OrmhRdeAOAGvwDXFm+99VYA7trAPgZw3zU6d+4c9/XIOrT3+bxWhb8vdujQIXjOiy++CMDdr9u2GJ5wt/dNxHbx5z//GYA/oPLTTz8BcPe9bIv2ewbb4oMPPgjA3T8BwNixYwG4zwfvjfjZAoC7774bANCkSZO4r0PAXRfte822yO9ZX3zxBQD/HpVt79577wUATJs2LTh2wgknAHB9KdtWfgPQvGex4w5sg2zL/P7KazDg+n1+juz9zX333ef9bda5/a4xY8YMAEC9evXyrccEe0JhDRo0iEyYMCHo0AHg9NNPBwB8/vnnANzFgqM5Fj+o9oPFGzbePPCDzhs4AOjWrRsA1xFmZ2cHx3r27AnANQieh20gHABhp2TPjRdO/j84SGAHEnhuU6dOXRyJRFrl+Y/FmWbNmkVefvllTJgwIXisS5cuANx7zIEp1hng3it2HhyEAtxNIb9o8cbvzTffDJ7DDumf//xnnr89YsQIAO79Z/3nF1XA17I3FPyQsxPm59jelPL8hwwZEvf1eMQRR0SuueYab8DqqKOOAuA+u3yf7OwIP/u8+eZzAPdec+CKHcgnn3wSPIedI99LW4fnnHMOADcDww7U3vzzJpI36+zsADerw9fgFws7oMKR/Llz58Z9HQJAixYtIm+++SaGDh0aPDZgwAAAwD/+8Q8A7sJs32v2m+zv2F4BV6e8OecNim3v/Plvf/sbAOCrr74Kjj3zzDMA3GDmU089BcB92QDcTSEvemzT9tzOOussAO6G0974sn0OHz487uuxUaNGkSlTpmDu3LnBY3/5y18AAF9++SUA95lm/wa4axQv4vbLD2/iWIeclHjjjTeC5/C6yBsH+/5yIINt59133wXgt0W+HmfL2Hfbx/jZ4d+xAzL8v9x7771xX4cAUK9evciYMWOCzz8AnHTSSQBcP8WbY/s+sE/lc9gPA65PY5/Ie5AFCxYEz+EgMd9jzloCboKJfTIH1Gxb5OeIN4f25p6vzy8OrDN+0QRcW5wxY0bc12Pjxo0j06ZNw6OPPho8dvbZZwNw/Se/cNmZTvZZfO/5XgLunoLP57Hnn38+eE7v3r0BuH7Q3ptceeWVANx7/tprr3nnAbh2yc8XB1IBd81r1qwZAPc5sRERfGzChAlxX4eAq0d+YQXcF2q+t5wcspFgbCecSLP1yEFJ1iPvXzlwDwAXXXQRAODf//43ABeRBbiJVdbHe++9B8CPEOK5sP+2v8/PGPtUnqvtd9mu77rrrrivxxYtWkRef/113HTTTcFjPXr0AOA+37x/4GQ54L7f8X2x96gtW7YE4KJW+V3yySefDJ4zZMgQAMCiRYsA+P0hBzI4SMOJHfslmZ8rfofhPRbg2ucpp5wCwPX99rrOKIvS8D0DAJo2bRqZP38+Jk+eHDx2wQUXAHAT6KxHO6DCdvGvf/0LgJtwANzELL+f8brIgRXATYB/8MEHAPx2wvtXXrs4wGb7AtYjB1N5HoD7HsLvpKw/+1nh96aRI0fmW4/KWSIiIiIiIiIiYmiwRERERERERETEOGDOkk2bNuGFF17wwmkYqs/wF4Z72vA5hlExLJvrQwG3tILhOFwzyLV7gAu/4dIBhq0CLoSZYTRcH2pDYRkKx3O1eSwY2siwsObNmwPww1RtSGVp8PPPP+Pmm2/2QvcZks3Q+5tvvhmAW18JuLA0htLZemQoMMOrGIJl65HhdaxHrsEFXLg664+hkvw8AcCnn34KwH2e7BIbPo/12L59ewB+CJ1dxhDvtmzZgtdffz0Izwdc6DzXuXMpAJdaAHnzxjDMH3DrBcOJ02z+H4Yvsp7sWlOGArOeGY5oky6FEw3acHKGrv7www9e2eYQsGFypcGPP/6IK664Ap07dw4eYzvjemeGPDKvEuDCRpk/iKGKgOuL+f4z/8Vdd90VPOe7774D4JbIMPcJ4NoMl3Xwueeff37wHIabMy+NTTh51VVXAXChkcx/YZeJsI5Lg+zsbMyZMye4lgDu/WBbYjux63YZhn/GGWcA8MNMGV7K8Hz+yzYNuHbBvpJLAQC3NIf1y/BYLisBXFtiO7c5GMJrkRlmy74F8EOPS4ONGzdi3rx5Xg4ELhf8+uuvAbgcXnPmzAmew7bIfFn2c862F26LzF8A5L134dJiwIWnc4kP1+rbJRzhhJE2BwLv1VjXvL/h9dYeKw1Yh8z7BLhrHnPJcKnFY489FjyH1yj2cfbehstT2U7Yv7K+Ade+eK9o1+4z9xOvj2yTvF7bcwufD+A+c+wfuCzTnqNdUlQaZGdnY+7cuV5/xXudcK6nhx9+OHgO7xl4PWU/CORNusrrq71H5f0J2xmvr4C7DrK9sD7tUh/WIz9zNk9Xu3btALjra5s2bbzXBEpXPfLehvfigFvSxvee7WT06NHBc7g8inl4uGwNcP1o+LrI5YqAu7dguxs1alRwjLlK2Efz+47NJcYlybwe2qSlvA7yuwi/d9i8LHYZZWmwZs0ajB07Nvj+DrgcIcydx2sWc5wB7h6I94MffvhhcIz3RWxDvGZxmRTg2hmvgWPGjAmO8bsc2ySvgfa7CtMH8DuprUfmNmHuRC7HsddC+90oP4osERERERERERExDpjgtWLFipG2bdt6URccyeWIG7NA2+gPzpyEEyMBbnSes9EczbFZ/zlyy2gFmxSSI40cDeRMtc1Qzd04XnnlFQB+Zn+eG2dv+Rwm8rHPmT17dqlI2FOhQoVI69atvYzxTDrFemOSO45+W4wisSOFN954IwBXf0zAxJkswM3ScSaOo4KAixBiUktGutgRYyZzYnZsuxMMo4WuueYaAC5xE0fz7etNmjQp7usxIyMj0rJlSy8RMd9XznAz+dLxxx8fPIczJmyLNrEnR2U52su6ZKQD4NoOR4bt6/NnzpSwLXKWGnCjuxzht4mYOYPHmXYmr7WJhDmCv3DhwrivQwAoX758pFWrVl6fxvriDCh3nOnbt2/wHL7XnLli5m77M5N6coTd9smcneQMtY3AYrt69tlnAbhZTmaCB9xOAJMmTQLgJ2Jm8ksmdmPSLiYABtxM/X333Rf39Vi+fPnICSec4CUX46wx29T8+fMB+Dtg8NrFRI2crQLcrCk/74zosBEFtl0C/gwlPx+MDOGMHtsW4PoLJj6z58/2zSSyTOpuoy4YZTZ58uS4r0Pg9z61RYsW3uwuI6cYGcRkkEwID7j+kn2qTXbM+xtGHHDW085Gc8ac12Nbj5wxY1/M66K9LvNzwDZlIy752br88ssBAI8//jgAfyaVUREvvfRS3Ndj5cqVI+3bt893y9lTTz0VgIt4sztD8R6P0Tk2Uo8zo4xS4H2EvUfkvQnvW22CVrZzvs9sw/nVIfthu4sK65A7lzHJs/0M8fxLS1usUKFCpG3btt5nme83r4+MOLDXtfD22Zw5BtyuQuxLeX9k7y/4t1mPdjMJ/m1eV3kvZKOIOIvNaF4brcd+gtFLnJVv1cpVF/uHmTNnxn09VqxYMdKuXTvvPp3vL2f277zzTgAuWh1w7xOvWXanP0a8MwKA7cy2BUZ78J7E9qe8z+IGErxO2+gifh7YT7DeAReVxCgHRkLwfgpw90+lIUkv4O5R7UYL/I7B5Nm8x7viiiuC5/Cax8TKNuk2E7Ty+wcjHe39BXch4z2uva4yqvatt94C4O5l+D0UcNc4RvPaRMy8r2K0Ne+ZOY5hz23WrFlK8CoiIiIiIiIicjAHjCypWrVqpGvXrl60AEdOua6II312NDG81pMjRoAbQecoFEfY7SwXZ8c4AmvXTXOrYs5ic1bI5jngbAxncOw2VVwrxcgGzh7YtU88p7Fjx5aKkcJatWpFBg4c6OUs4Qwa1/kxasTO0PC94mN2DRsjBhgpwFkTu8Ui1/JxxM9GNXCmmr/PCBO7NzZHD5mPxuaS4Sg065bRJ3aNP9fZXXnllXFfj5mZmZEOHTp4W55x/SZnIzkSbHMLsC1w5tjOMHIWhfXL2TI7osy2x/Zhty/k3+J5cP2uff3wtsS2LfIzyNkVzgLYyJjStnVwrVq1IldddZWXm4ezHRxJ50yW7fcYScVRd47wA8jep4IAACAASURBVK7+uM8912/bXE2c5WSeCxvVwP6Z/TZH7/PbQo8zKradhnMEcItNbqEJuHX4PXr0iPt6rFKlSuS8887z8iRwhpptitE9dpaKETuMArEzpOwHObPK/tG2N27Lzpkwu8aWfTtnsfkati3z9dnu7Lpr9ufssxm1YCP1+LpjxoyJ+zoEgKysrEinTp2CSFTAtZnw9sC2T+P7yFlH21+x/hmNy3sJWw+8Z+J2lIxEANy1jrNzjAJihKA9R9a1PTf24cx3wYg+e3/Da8L06dPjvh6rV68eufjii717G9YPrzV8D+37HGbzD7Et8zPAz4eNimQkLeuL7QXIGxnNz4K99vE6zplV+/ng9ZR5FtgP2/6C/cP1118f93UIADVr1oz07dvX2zaWn29eu9hubHQr2wL7WV5n7PNYV5xFtpHy7G/5+bF1xM8E863xuwLvaQD3PYSfA/s9hLlq2CdwNt1G+/HaP3To0Livx+rVq0d69erl3YPz3oDtg5H89n1iH8k6tPncWPfsx3ivwr4XcJ8LRv9xG2n7GF+D30HsdZnfJfjZs/mEGB3P70lcSTFw4MDgOewvSkMdAkCdOnUiQ4YMCVYfAO6egfeNjOCy7YX3pozwsfXItsAtunk9svXArZ95PbXfF3m/zEgu1pG9D2U/zbxd9jPG8+fv8f/B6DPA9amXXXaZIktERERERERERA7mgLvhkJ3h5NpOjgxxVtOuzeZIG3/PjgIyAoUzWZyxtGsFOUL097//Pc/vM2cKR7048mhxRIlRLHYGjSO5jGThWjo7wsXRr9IiEolg7969XvQPdy/i+kvO/Nt65Ewi33/OeABuloafA47cWfwccK2pzRTOUTyOPHOEn7NegKsTfo7sbDg/P+EMzHa9op0Zj3e5ubnYsmVL8J4Cbg0uZ/sZZcX3FnAjsWwD9jMQXrfN99Kuu+XsDmfn7AwcR+T5ehxltuuvORvHmTObq4N9Bz9fjE6y65btLFJpsG/fPuzYscPL3zNo0CAAwPXXXw/ARWfZdb2MkuPslB1RZ0QKc8WwT7P1yLpmXhg76s46ZT1yRtPOoPGzxkgH5jcB3EwZ65/rUzmjB7jIr9IgMTERaWlpXmQH31fmReDsil2fzvpgO7Uz1WwXLVu2BJD/TCePMQrPRhvw+Zx54wyK7ZdZ5+y7bZ4F9sPsc3ldsG2RfUBpkZubi61bt3r3B7xmMOqDfVR+s2xsw3bXNdYtr5WMELERQrwH4ftpd0lhPXIWnH2jvfbxMb6W3Y2H7ZzX2i5dugDwZ9NtH1waJCYmevePvN/gDCXvFexOcvy88z2093987xg5yUgRex8azjtkr8uMROB9LHP22R1vGBHB59pZVN7jMhqU0YA2gii8m06827dvH3bu3OlF2DDvE6MDwjnO7GNswzYympFBvKfkvYxtb+yDOatt65E/c6aanxG7ox8/B7wW2HtO1iP7W+YusX06o+hLi8TERO/7Inf0Y/4dfu7tzlJsF+wPbV/HCDlGeDBCxPZnXG3AqA+7eyvbLr/XhHdzBVw7Y5/w/vvvB8eYK4V1yN1C7e5+9l6uNNi7dy/Wrl3rfRfjTqb8nkU2fw/bFa9H9rsGI4v4fYTf++1uNLxWMs+W7e+YQ4zRvIx+titjWA+8z7H5ixiJzf6FOy/Zz6r97pgfRZaIiIiIiIiIiBgaLBERERERERERMQ64DCchIQFlypTxkkoyFJhhUCeddBIAP6ybIZHh8HzAhTgyPIrhTXaJBsPQGe5mt+1j2Bp/j+E9DD0HXGgNw4Dat28fHGOIFxOhcckAw8wBF2r00ksvoTTYt28ftm3b5oUSsx4Zzs/QRhuiy5BChrnZcDOGKH722WcAXDiirWuGuvE1hg4dGhxjqBsT//D9twm6mNCV4Y/Dhw8PjnGrY37GuBxrwYIFwXMYAjhz5sw870m8SUxMRLly5YLPLeDeO75PbFM2PJ/JrtiGbfggQ1YZ4si2ZENZie2TicwAF+bK12PIJBMDA3m3CLfLEhiux+dzyY1dWmcTE5YGkUgEubm53jawTIjGuuG25kwqBrht7RjqaLe6ZH0xQRnrxdYVwx+5hMBuS8wlefwcMRyWIfyAC2nkZ2Tq1KnBMbZFhq3z8zBv3rw8z2GIZTzbt28fdu3a5W0lyj6SYf3ctpTLpgDXtzLc17ZF9qesHy6J4798XfvYhRdeGBxjGD/DUvlaNoEZPxdsX/aayf6YSxUY1m6377v66qsBuG0y411SUhLKly/v1SPvPbi0hgk4bUgwEz1yGSL7PcC1Rf4e69/2qQz9Z5137do1OMZlGQwX5r+8XgMuXJj3QgxRtq/HPpV1bpMe2ufHu4SEBCQmJgZtCnD3drz/Y79k2xuvR1wqY5d7hpeXcqmHXfrIJTmsQ5t8lUvy2F55/2LvY/k5Y1JtuwUmlxPwusy2nN+2uHPnzg2/JXGJ10WblJwh97yecJmpXXLF+/fwUg7A1ReX9/K9tp8V1g2XbtgEs9z6lH0r272tK36O2O9y63XA3T+zHvm9hJspAK5PtdfKeJWQkICkpCRvu3ve27Af4nWR76U9xrbIJOOA+17JZYn8fsE2Crh7Wy6xsd8TuNSU30V4fbYJ8nmM53H77bcHx+6//34AbikX73/YRgHgvvvuA1A66hD4vR5TUlK87Zm5uQfff15D7FIbbjDA38tvOROXt3IrZ3td5PcZ3qvadsbvh6xj/p69B+LrsU1y22nALYXkMlf29/Y7/qRJkwAAs2fPRn4UWSIiIiIiIiIiYhwwsoQRCXammCM6nIVk+Zxzzgme8+qrrwJwI/N2m8zwKB5HzW30CmdWGa1gR+Q5q8VkMBwttskIudUxR7qYEA9wyb74+0yUZWdbOOpVmjDJK3EGi7P7HNWz9cgZEtax3Z6Psy1vvPEGADdyyPoA3Mxlz549AbgRdsAlIuTMGZNM8jwANyPE82DiNsAl0OMI83PPPQcA6NevX/Cc0jCLTUwMaqNG2D5YP4z84Sg84GaGOXvKzz3gZlU4O8Nkjjb5FSMZOFpsI394Lnw+z4NtG3CfM74Wt1QFXLIv1iE/Q0xYC/izaaUB+1QbiUecceIMaP/+/YNjjMzgdrwjRowIjrEe+B6zHm1CZs6mMWmz1bFjRwButpQRJTbKjM954IEHALhoFMAlXWN75czM3XffHTzHRqLEu8TERGRkZHizKmwD3OKQbYqRlwDw9NNPA3DXILv1MLc55wwl2wJnwgDXTridr402YD/OiEv2tTYRHmdmOdtmk5vZNg+4WVG7/R+jm0qL3NxcbNu2zZupJrYl1oPt9zjzyWuWnUllvfO6ll875/PZXuxsNK/RvB/i/YlN6Mm/yddgInzAfbZ4HWZds/0C7r6oNGCUl00MSqwnfrZte+NMJRMy2yg81g/fV15D7dbDjADjzDkjywAXxcMIIkZr2d9nwkmeh61fzp7y2sut2G1btBFfpUVubq6X9JqROezb+Lm3W9PyvWE0kY2G5HWQfSj7RNtvsr3w88PXBFwEHvtk/h3bfljvjOiy/TXbMOv/iSeeAAD06tUreI69p413/I5hE2azH2WbYF9rI4b5fvL7IhMaAy6ig1FC/H5gI0vYLmxUEvFvMgKMSXdtUmx+LliH9p6TEYWMemEkwnXXXRc8584778zzuvEsNzcXmzdv9iLp2C75HjF645JLLgmew7bIFQzsWwF3/WS0NNub/U7JZLHsf21/zb6YkSmMdLcRn1wdwe+C3KYacHXM9spEvTZ6he1zfxRZIiIiIiIiIiJiHDCyJCcnB5s3b/YiAjiSw8gSrtXkDDLgRmveffddAP6sDNc8cY0gZzxt9MewYcMAuBF2u2Ub107xGLegslskMvqE6xh5HoDbcogRCByh4hpSwB+1LA1ycnKQnZ3tbZnGKASOvnOk146sc13fQw89BAC46KKLgmPcXpkjxRyptWujr7nmGgCubuzsT0ZGBgAXHcHRdkasAG42ndEunLUF3Ig81ydyNNtuAWj/v/GOo/Z2FpMzLfzsMiLDthfWIdsAR9YBV9ccveffsWtGOfvJ6AEbbcCZaq7p5bmxbgE3Es3XtXXIrWV5jqw7W4f2/1sa5OTkYOPGjcF7B7hIEq6jvOWWWwD4fdKMGTMAAAMHDvSeY5/H+md/bXP1cCSd7PbO7INZRzYagsaPHw/AzajY2Wyum+f6Xn4ebP4iu/413u3evRvLly8PIuYAN/vImXxGd9k6ZB/HCBMbQcV+kDOkjBay0XEDBgwA4GbQGHEH5N3enZGSNqKAs9FcN87+FXCze/zMMCLF9iU2z05pEIlEsGfPHu/eITybnF+fevnllwNwM1h2O3VGD3Amk3nX7JainP1mu7Pr9zlzRux/7XWRUV2MoLV/m9FpF198MQC3pty2RZuzId7l5uZiy5YtQaQG4Po2zowyT5bdvrlPnz4A3HXRRtSGt05nBNbChQuD54wbNw6Am+m2udIYWcn+lG3Q1i3X1zPqmvelgLu3uffeewG4/Dc2MsVGiJYGe/bswerVq733KLzVOfMT2OgNfh9gX2Zzx7AvZH4X3tfbrWl5jK9loyJYb7xP4qy0zRvH3BX8jmPPjXXKfp8z7fY+2G5nHe/27t2LNWvWeLmw2Bb4vnALYXtd5L0Fr3U2gooRDDZKFgCmTZsW/MxII76v/B3ARZXx9bhKwt5XMlqW/am9t+Ex9rGsZxuNyN+zUdPxLDc3Fzt27PDuUfmesm/lVsI2Qmfw4MEAgJtuugmAv80w7yeYP5T3+Pb7APtgRrHYbbU5XsDPwaWXXprnvPm9n98JbT4S5iGZMmUKgLwRLsDB71EVWSIiIiIiIiIiYmiwRERERERERETEOOAynLS0NDRo0MALOWLYCsMe77rrLgB+WAxDn5g0yy7N4NIYhi8ytNcmgWWCHYbk2ddnOA8TmDGsyoZeMcSHWyzaBLUMA+IWY0zwZLfFtVvMlQZJSUmoWLGi9z4yLJfJc5lMkktnALc84/jjjwfgvy9cvsSwRSZSssm3GGLFECobcsXQSoZcMTmoDUdliCzD8mz4I7dbZPgrt5uyIc1cKlYaJCYmokKFCt5WW+Ft815++WUAyDeUlUmXbBIs/h7bDkN77VId1hl/34asM7SR4cpcRsKlCPax8HaM9vVYZ2yLNmkTt8ksLdLT03HMMccES5AA1z8ydJ4JH7nsAnB11aNHDwD+UiUuA2D7YPgk30/A9Xfsk23oPuvP1jvgltMAbmkWX4MJmgFXj08++aT3d+x27HYb5HiXnJyMatWq5btFN9sek77Z8H62PSYu41JSwC3b4bIJhi8z8SvgkmkzHNyGkLKds51x2YbdppLLCcIhyYBLjsY6Z3i4vXbbpRylQXJyMqpUqeIlleT7yPdv+vTpAIDzzz8/eA7fR14XbT0yqSPbN49xKQXg2gLDt/NbFsP7HPaN8+fPz/P7rD9eXwFX/wwl51JUboUM+Fuzx7vk5GRkZWV5ScVZP7xmcQmivUdl/8mkgjYRMq8/3BKa9012owHWC+vQ9m9sw7zW8V6V21fav837FrvMgEu/uFEC+1xuW2rPsbRIS0vDkUce6SVE5v+RCa1ZjzYhMvsy1oPdxIDvI/tQtk27nIlJHbl01S53Y/tiX8jP2LPPPhs8h+2K11q7vIP9/GeffQbALc2z9+E2yXa8S01NxZFHHhks7Qfc55xth1sl2yS3TDrPZRu2P2ViVd5Tcom3TRDLtA3cItpuH833nH012WVzixYtAuCWV3IJJuDSPDz11FMA3H2Y7UPtvVxpkJqairp163pL0ngfz/eD38mGDBkSPIdLcrjUyvZpbAv83s/lc3ZpJJcJ85rF5OqA60PZzlgPNhkvl13yXsqmjeC5cOks27v9rNj73fwoskRERERERERExDhogtfs7GxvNju8pR1nuexoIkdkOapoIwo4EjV58mQALhGd3TqYo3ZMxsLRd/u3OVPDxEF2pJEJ7D744AMAfhIlRkRw9tOeN9kRrdLEzr4wURGT4nC7Zvt+cESf9WFH8Thqxy1BOQvOxGmAGwV+8803Abhkd4CrN0b/cKbGRi7Y0WcAOOKII4KfWaecdeEsq/0csf5LC27pRXwPGH3B98eOCHPUnjMgdkaK0Tl8n9gm7Ewnk5vx9+yoO2fnOFrMz5dtr/ybbHc22oGRS3yMf89uP20/s6XB3r17sW7dOu89Yn/FrVmZWM4mYWXkHevKRmAxoTaj/DjLZhNycsbu5ptvBuAnseZsGGdE2Rbt1m+MlGC0iK0j9hn83HDmzm5TzBH90oDJlm3UBaN7mCiVkZc2YTZnmtkP2tls1tXEiRMBuIg7G4nFiE1eV22SR87QcFaGUS/swwE3m8JElTbagf0mZ+P5WbDRJzZKpTTgduy2v2TEFGepuLWhTdzIpKucUbQzxVdccQUAd11lclGbPI71yN+zs2ts8zwnJlK3s62MXmL/aROZs455HWU92s+KjcKNd0zSa6+L/FyzH2MbsJFgjKTizLONtOPWsoyy5ayo3eiAEQhMFmqjFXhPwhlOtmVGNdvXZR9i65CzoKwzfl5sn203LSgNcnNzsXXrVq+dMSKE9528Btot2/n9g32ivb9gNBi3EOX7b9sb643Jsu0W0IyG4H1seFYacJEt/DzYeuTsN8+Jz+EsPVC6ohK4FbuNQGcEAvtDvqf2PpLRsqwX+z2D30uYFJtJfm0SWCbf5vdF29eyj+R1mP0po1AA11eyndqoWd7DMCKXnz37GeTfLC1ycnKwbt0675rBKC1+l+OmDPbayXpk/dl7dyZdZfJX3lva6xq/xwwaNAiA/12Q3+/Z3phY2SYT5j2XvR4TP3f8rPCe1b6Gtg4WERERERERESmEA0aWJCYmIj093VvvyvWCHO3mCBPXGwFum0uOBHN0D3DbJnKUnNtN2plWjsD27dsXgL+uiLNxnM3mzLXdDoyznpyptrkrOIPG3+P2Qhy5BNxI8sMPPxx+S+JSQkIC0tPTvXV2nG3hzCW3weS2dYDbyuuGG24A4I+mciSe9c/1Xnbd1/9r70xj7Syrt/8rp6UtLbQNFhPEGMNUTA0gjSQMARJHtEYBUQtEGQthRplFZFKqaEFA5kFACUKMEhIMGBKiRkkRAkZEMZJXUSSvYWo5LR3Ofj+Q376vZ/dQ3o//vf/r+tLTs8fzrHutez33uta17KV2PFs+5omk47assMg0gVZZsGKd1SOZClb5HG+c4zw9tbz44os3uibDhomJCdasWdPp6bUKYnXE01fH9UKrBjsONvsIrWpYDUkGmNBP1LSxWgKNreLrrFgm6yB1ZqA7YtwKu1V111SOVBXqsQw77LFPPQ9ZduqCHH300UBXp8DnXHLJJUCLv9BO0u0HXrZsGdBlEekLMkuyV9px0Pq+fp5xX7aK/2b/vM+36uNYY9cMtJjqyM1hxmabbcbMmTM78VD/8rpa+XJEKLS+a22QFTBtYMxznKLVaWjsFZlEWdHyc62c6IMZc62u+Vja1yqSbDX77FOnwWqgsXbYMTExwfj4eKcSJcvLypPsu6x26ieyE5IxaR7kviRLNUcPy945//zzge6oddkPXn8/13wHWtw3T8p4q58bU2UAp46V6yDjyzCj1+t1qphqPxn/9KGMedpJpnNWUfVZ2bPuS5mbmK/KPpGJBG2PdR/TThkL9D2r2TmC0/3YHFkmWLKn9cUrr7xy8HIMLTbbbLMOW09Wgf5pjM1c37xgyZIlQDemyuAY9LfUXjKfMSZnfqPPyhY0rzJWQ9PU8L4i7WiOasX73nvvBbr3Gq4VGdrDjClTprDZZpt1coPTTz8daDmiDPTMUdVXMm9IltbNN98MNK0MGbXJuvXae7+W+kHeM+j73j/mGHD33GQZCPNfGYIybE8++eT+c/TXUcht4K14NXfu3I72oP5h3FKXRB01gNtvvx2Ayy+/HOgy4bzu7q8nnXRS5/cJNWiyw8MYKktM384xz+qgeL+YuY/7p4yWiy66CGhnDNCYTd/97nc3+k5QzJJCoVAoFAqFQqFQKBQKhQ42ySyZMmUKU6dO7fdsQqtGqC5sn5jaI9BOywcnKECrfHgSb0/YZNUZT+2zr8mfPX2SGZEnyvfddx/QThOT9XL22WcDcNtttwHtxDOnhIzS5AZo1ey0gye29ufJBvL0HlrFytP+vMaeultptpKWa8Wqlqd4WV3z1NLJHdo/9WWcUGQfq5oOADfeeGPnve1PTjtm9X7YMW3aNObPn9+vVkBb114z/5+aI4OsnLSBvbT+TvtmpVLor6mDITNFf5dBZgU8P9eT4ZwIYLVAZXLtnOyXrN6PApzAkXoRVjedJHXWWWcBrVoG7bp7rXPqVLLyoPliMupU8Lfv2ooYNHtb8fIxmSLQ/NXecKsH0NTknfwimylZRFYERgFjY2NstdVW/T5maCw846HxNCv6xjh9IX3Jio1VS/vrrWhB8yVZRlmBk0V55plnAi2uZ7XswQcfBJoNU/fAqus111wDNJZYxtOsNI0CnPaX/fOyRmRFes3SVvqHLBD1J6Bdb21jLEt2rVUxdTL0V2hx1sqpvpn7quvASpjsWIClS5cCcMcddwBtXWV+NUoTxqZNm8Z73vOeDuvj1ltvBWD77bcHWvVTFiw0HTZjZPqJTBT3R306Y6ZsE/ezzK1k/hjjrZ7abw8bM2qTmSJ78JZbbgHaPpt7/6j54uabb852223X0RxRl0BmiP9PvQmr17KIUnPEfVGWlu+dtpJlIuM9/Uw/lc3r+yULyXUk+yX1gC644AKg3SOp5ZH3M8lYG3ZMnz6dHXfcsXN9zjnnHKDlBlbtkwGeE9+g+S20WKV9ZWtljmieL+MyP99r7T5s/pTsZZlK2lnfhqa14iSmhx9+GOhq04yaNqL5TWpEys5X69L8LydTudd4PzHIKofGotRPM79wzzIfzn3RNeE6Mt7L2oJ2v+j3SNad9/tOPDJHzb37nexYzJJCoVAoFAqFQqFQKBQKhUAdlhQKhUKhUCgUCoVCoVAoBDbZhjM2NsacOXM6o64cDyTVSTpTjouSNie1MGlViq5If5RamOO8DjvsMKDRFnO8llRx2298XYq52I4g1SfbChSEkaojPStFnxRuG5U2DkddJi1f+pT0YGn9Kbwk3dHrr+2hK1YGbR2kYI8UKSmujp2CNh5KCpzjS3MdKPCj0NqTTz650edLhVbcJ8WljjrqKGA0Rl72ej3Wr1/fub76lXQ5qYH5HP1U2ydtTcqo/q0Nku7rKEzbATIWuHakhTtmNEeN+3zprelnPua/tgHliEfb/bKVbpihOGj+jYOj0hQoTFqgQpPSfQdbbwCuv/56oMViWzOgtTSuW7cOaDRwaL4jJVzqqq1t0GLA4YcfDnRHASusZkujNMpsZ1S8LQW1hhVTpkxh88037whOO6ZSH1CMMfdF95V8nbBVQOE56aHZHuB+pu1T6NCWLdtFbLvIlgttbptcxlN/lu5s7E8hPb9/fu4ww9HBUrOhtVyYXxhjs4XCeGXLVMZUBR61sW3Gtl5BE++1TSPHS/s6KeFSmfPzjQFSktPGCp1KSfYzsmXLnGcU9sUpU6Ywbdq0TqzT97x2igrmWFofm2x0r62fXjOfmzZU4HFwLUC3dQ7a3pvX2891X8zczPY439O8KwXYtX22tQ47xsbGOsLlUv6NqfpmDiqwFVJbpS96vc3j9fO0ta0b3iOkHY2l7m/mR/kc46UjTDM/MkfVl93DU5j7y1/+MtDdj4cVExMTrFy5spP/mT/aUrF48WKg2/5ge5S5YbY82jKqDd27sq3Qdm7jYl5ffUe7mBunnYyZCtKnLyruazxVdDjb4LxfVXx22DE2Nsa8efM6+5It2e6HXlevC7R7ysxthbbx/sx9MdsnbUlz/dg+By33MH+11SdjgS2z5tO2Y0JrA/dMwjw2Y+pxxx0HvL0vFrOkUCgUCoVCoVAoFAqFQiHwjqODZ82a1RlX+r3vfQ9oJ4Se1KSozuA4oKwwenqkiKHigDlyy1NHx/d5ogyNEWLFTYEYxWShnWx56pXMFscQexro35bskxzTNwqYNWsWe+65Z6cKoTCqI6C0Y45O8zTQSnOeuCnequCRj1ndhsY8sFKTrBErmZ4UWxnICpECkVZhrKZAq8AqTKiYb4qbego5CvC0NwXEtKeVQiseeWovS8RqdJ6aeyrrGGnZA+m/+qWn/xkLFEP0dFahxBRM9L38XE+UobHBPDX2tD8rE7lmRgFTp05lm2226fiSI+f816pFCmwZ5xx9lvjBD34ANCaVPp2VDis0rg2vObTx7drG+JkVHitDPib7Jb/3ddddB7QKXn7/tOmwY+rUqcyfP79T0TfuWcWWFZdCvl5f95qsNFsVsfr44x//GGjj+KBVTfXpFFDTT42nVjxz/J4x0tenGKKsP8dPG4ezippxZRQwNjbG1ltv3amOKSIpg1VmkOMpofmileasbpmHyIbUxhlTrXy6P6botowtX2e8ncyX3BdTaNj8SgaX1dqs9iVDYtghyyv3RdeybNnJGM7bbrst0OySDDAFc0899VSg5TaZo8p0dF/db7/9+o/pM64TBczTl7Sre95uu+3Wf8z1ccQRRwCNVSRjG7pspFGAQwjSjuYX+qI5RLIqXdfG1qxGy9BxrzJnTGafe615Y64Rq+D+Tr9Jtp33Ia4jhbmhxXT3Zf1WxgyMltjyzJkz2XXXXTt5h8K52kD7mqNAGyrhPWQyWhXBNkdRLFfBTmhMMvfVvffeu/+Y8VTBbv0u2YTGX/077aPIsqLLxvfMjUbRF9/1rnd1GDrf+ta3APja174GtHWbLC1ZIuaKyeRzwIAx1ZiofaHde8ouyxzV+35zHvPZvJ8xZ3H9mYsB3HnnnQBceumlQIu7Kdr9TnYsZkmhUCgUCoVCoVAoFAqFQmBKVoEHMXv2X+2wmAAAIABJREFU7N4HP/hBFixY0P+dp7KOJnQUkFWrhKeIngpBGzHsiZCjv3JkraeGgye60KoFVuA8/fUUGlqvvyeGVhGgnSh6Wi9rIk+Y/LwLL7zwD71er9uAOoTYaqutenvuuWdnjKXVFu3o9cj14HO0Y1bXHAE2yMzxBBca68OKiNVSaONuL7vsMqCdHKetZTp4YulIP2isF9ejJ/xZdfDn4447bujtqC/avwvtJNX17XrPcVza1cpHsm0c2SbLx4qzvZvQekPtw7733nv7jz3wwANA06vRXslO8nRZllAyf6y0aEt9MF/v97/rrruG3oYAs2bN6i1cuHDSkWcf//jHgRaj0lZeN69Njh+UcaUuiFVPezChVUYc2Zc9t9rmrrvu6vybGkU+x97hrBpYgRhkD2VM9Xsfc8wxQ2/HLbfcsrfbbrv1Yye066FPyYhyf4QWP7Vdshmt0FjVlhmSoyxlDfi5qf/jelK7xJidYxCtdPq6rKLKpjR2GGdy/LM2/MY3vjH0NoQWU3Odup9YOXQ/ylGV+ueLL74INFtBi4WyEYyf6pRA82vZCFa8oY2gVjNG5q15EjQ/k3n7/ve/v/+YMdWcy9wtR7L6uptuumno7Th37tzefvvt11nL7ifGIfe1XMv+Tr/NCqmVUauX+kayxGR8mc+mtpDaW/rkeeedB3R1Y2QnuL8l49J9fZDhlzoNroelS5cOvQ3hrRz1wx/+cCemDq7hQaYytHVt3ppMVLUs1KTQz2XfQYuPaqOlFp+xfOHChUDb53LMs36uT2XuIuPM72Y+mr5snD3llFOG3o6zZ8/uLVy4sMOu8RoYz7wW2S3g/YFxMe8XZVx5T6i/JDPl5ptvBuCLX/wi0NXUMp47wtgRwJkjy5LXJ5Mlpl2NKd635D2l63LJkiVDb0N4K79ZtGhRh+3mXud9wCALBFoM9bnJmlKbRza5tpaBCfDDH/4QaON9089llLgP262SrE6Z9rJG8tzCGODeaT6tPaHF17eLqcUsKRQKhUKhUCgUCoVCoVAI1GFJoVAoFAqFQqFQKBQKhUJgk4pts2fPZt999+2Igw2OF5WyndQ2ReUUWEk6uZRz6TRSHB3hBY1mLGVHcRlotBnFsny/HAVla44U2hQX9L2lStpGkiOEpBGNCmbPns0+++zTEa61XUYK2X333Qe06wKN6mT7S4r4DlKA/b8jSqHRshRZyrGhUmIvv/xyoNG5UmRHO0r5yvGJUv1sx5Iyq+gdjM4oL3iLsr/LLrt0hAKl8fuvNNFs1ZHyL5U3BZGkIPsc10JSUR2RKHU/KetSjwfbb1I8S/qivpiUddegrQa2DqQQ3mRjVocZ8+bN45BDDunEVOOkMdV4l4LG+qJ0fmmF0KjA2lH7pwjr0UcfDTSKqkJX0GLgtddeCzTByBwhbZujtOWkSCo+6cg2RdBy5Hv+POzYYost2H333TuUb6n7xjVjT4qoShmVHp6v1/ek9esvts5AG83n/vSpT32q/5g2MMbrr+lvtmdJhU4Krd/fNhIFL5NyPkpihPCWHXfbbbfOvig92/YpRSKzzcO20KTwCvcf8yRbrxxdCHDmmWcCLTYmXdif/VzbDLKFxBjufpg2Ng8zptgenc/J+DrsmDVrFosWLeqsZfdDbai432Stj7YH5Bht9yHjn8/9zne+03+ObeNPPfUUABdffHH/MeOv7QFe+2xxtg1SP8993ZYchSaN9dn6mO11o4Att9yS/fffv5OrO75bKBKZOar3Fq53fQqaYKc5i+vBIRXQchhHt9sKCy33MLc0N837GWOiPpVtl/ryYFtXCkqPwshgMXfuXA4++OBOe6i2Mmbabn/aaaf1n6O/me9ki4x5ksL2+uQvfvGL/nMUDfUeRJHyhM+35SfvF/VF89aMtfq5rSEKktq6A11R4VHAvHnzOOiggzp2tCXN2GosTGkH/cX27cwdjMH6pza2PQrgq1/9KtBEgbONXHjdPRvIuKkPG2/1N2itVfq3+2LmpSmGPxmKWVIoFAqFQqFQKBQKhUKhENgks2TatGlsu+22nZNUT06teBx88MFAq1pBqzoOVtIA7r77bqCdqFuBSaEXqwQKYuXpjyfIVkY9iZ6ssrB06VKgjSmCVkX1hNK/I1kL/k1ZYR9mzJw5kwULFnROzjxRVzjH01lPfqExO6w0n3vuuf3HPHUcHBebdrQiov0UL4QmxuSoRk98c1yUVU7FKRUAgnZC6emhn5+sIE+YHW88zBgbG2POnDmdE3ErWJ7Ser1S9GhwZGxWSBXr9FoecMABQDtFhybEpS8ongyNHeZprxWxFBz0dNnKQPqUccL4YizIyqfrIUW7hhkzZ85kl1126fsWNGEp/cz1LtsLmq08yT/22GP7j3nK7zr3mmXc1TbGXxmBACeeeCLQRhBbgU2xOsWDrZYmk1DfU4BURlmuVSuv6d/DiunTp7PDDjt02D3uOe4nxsFc71YzrLY5GhRadWqQtZAx18qX1zn3NZmZjpw1NuR4YdllMlRk/EETlZRh6T6fY22NC6NSDZ02bRrvfe97O76ocJ8x1WpnMhZl8Cn4maKUirWauxx55JFAN6Yq8GhsfOihh/qPmc/o71anjc3QchXzlBSItdJtFXzws6CtuxwNOayYOnUq7373uzv7vvHUv13GWzJNtafXycEB0HzIx/SbZMaar/gZydiUTWQ8No66P0Pblx3F6dh1aGvAeKEYYY43tnqrqOGww3HsOTrY6+/fL4tYNg+0+w7jb4qSa8cUE4XuMAnzWD/36quv7j8mA0zRZUfS5qhucx1zzSuuuKL/2KB4sAyXZM/stddeQBt3PcyYMWMGO+20U+dezPsMfejKK68Euvmce6R5aDJDbrzxxs7rzWn0m8mQArFec+OpLGbHDUNjbxonli1b1n/MXNq15N+T46PNm3JU7TBj+vTpbL/99h07Dg5LMd9IxqTX0fvMHBRhvqmN3buSWWIHg9c2hxAoNut7mn/mvuiZgmLAp5xySv8x9z/3dXOwZHnJ2s73TBSzpFAoFAqFQqFQKBQKhUIhsElmyYYNG3jllVc6/a5Wge2xfuSRR4Buz6ej0nydvYPQTvQc1eV42WSveILv6f1hhx3Wf+yiiy4C2imvJ0ZWTKFVqO3rzH5Sqyr2ePs98qTRU8xRwYYNGxgfH+/oDGgbf6cds//OkzZPFVNnwetlf58snqzS2SfmiZ8ntwCnn3460PrT7BvP6o/9/p5C56m/lVsrNFYPrD5AtwIw7Oj1eqxbt67jJ56gyxqwuqZmBMCnP/1poFU68yRVtoknqZ4IZ+VY/7DKlaOdHQXtODbfL9knsg482ZdRBHD99dcDrdfRqnqOnx5VZKValpsVSNkbWX2x51ZdkrSjNj7rrLOAtu5Ti8FR364f/w9tDN8gA+vpp5/u/2y80M+zuudpvX2kfh/HxUHTBhgFTExM8MYbb3RsKKPEWGm1LK+hMU9fNPZB23Oselo5y3GhixcvBjaukgGcffbZQJd9B93KjxVO7SyDCRqz0L3TeGrlEzbWEBh29Ho9Vq9e3Rnpql9ZMfb/6YvmJ1aOk7Ep08Aqo/tpahlY8bJqmTF1+fLlQLONMSHZJ1b8ZJTkvnrhhRcCrYLnqMdkNeTnDTsmJiZYuXJlhzljbirbwNwmK5Xmgdon2Zj6omxI97fUMrCyaezzOkMb4e5nyCRIJpfxwmps6vK5vvw7rLgmI0I9k1GB+U0ydLxuxh1ZJOlvXittk1oSxjKZdDIo8zPMUc2djLHQ2JvmOVbVk81jfFZjKJklhx56KNDWlvHanAom1z0aVuiL6Usy3dwXvSdLJo17lveQskmgMQBkIsj2Sb0vmbWyP/JeTgbE97///c53feCBB/o/q8V4xx13AN08SFt5n/GJT3wCmJwpOCqYmJhg1apVHebhIFPVfDTtaA6h/VMHVJssWbIEaAywHGnvfYOvT0aYGpU/+9nPgLauMo81j5a99Oijj/Yf8x5JNqh+n+ze1EKaDMUsKRQKhUKhUCgUCoVCoVAIbJJZMmXKFMbGxjonZ56keiLvtIw8dbfnyJ7DPD1V0drTWU/xs1Jqn5n9ujkRQJaJWheeEltFgHbSZwXl3nvv7T/mCZenSCoo5/fPfv5RwMTEBK+//nq/387fQau2yPDJfj0rZ/ZIZzXDXk/XgSyQPI2019RTZU8FoZ3EexqsrfIz7AW3Qp6nmDKLZDOoiuz/oU33GAV4am+1BJqGgSexVjNzSoa6CvpJrgFZQNrS1yWzynWiXfU7gKOOOqrzGfpQVi79PE99s0KrSrwn+75eLRRo62RUsGHDBlatWtWpRHqNZRoMVrKgxVQZHqk9ow97yi676vbbb+8/RxvLqMuJAG+n6ZPTT2SV+T6pVO7pvDEgK/Ui2YGjgKlTp/arFAmnFqn2n75gdUp/WbhwYf8x9yj9y4pLMv30JT9Dhgl02VzQ4qHVaWh7t8wEK2nQbKfv+71zX1XRflSwfv16XnnllU5+IhPOfERfOvzww/vP0X6yGZLBqC7Xz3/+c6BVtefNm9d/jvuhE6aS/eNEAD/f1+W+Zl5k5T1ZJ/Z2p1YNdBlKyXAYdvR6PdavX9+vHEL7W1esWAE0RldO95Lxpe1yzzTP0JZWl2WoQItx2kVbQps8pn9pp7SBcdi1kDmnVVT3QfeH1A+SlTkq6PV6rF27tqN3Zt4no8SYKkMOGkPT/CS1tGQPqBtkLEymu/5iLpVsP3NiK9SyI3MdmeOqhXjPPff0H5Oxq90ns+NNN9002eUYSvR6PXq9Xiceuo/ItJQ1kpM19R3ZIpnbeO1l0WmDvCfUL2W75n3GIKNEpA31b3Nk2XnQ4r8MP/09bWi3w6hgw4YNvPbaax1mx+A9nDotmR/og7KHkuVvV4CsShlc+g20a2yuKVMaWi7r+nF/y311MKYmc9YpOObd5kA5bdN94u1QzJJCoVAoFAqFQqFQKBQKhUAdlhQKhUKhUCgUCoVCoVAoBDbZhrNy5Up+/etf90dJQhNQkvKvsGqKJh144IFAa3H55S9/2X9M2poCOVLlUgBQSqTPTdFQhcscoyb9UnFIaFR1adJJYfX7S2v3sRT/cvTbqGDdunW89NJLHQEbacKKMF5++eVAoyNCo5NKI0zhUFudFHNUADTFORUmk4onLRaa+NYOO+wANGpx2sr31MYpbio93XWgraWAQbedY9ixYcMGVq5c2RFEsv1GIWSpjkltk2YqXS6p+76Xdvb/UvKhjX+Vqp70bqmMtmkpdue/0OwpRU6BUmh+rU9Lv8x1ksKIo4DXX3+dhx56qC8wBXDNNdcATYxMMbP0BUWz9cWkkeofip9psxQ6sx1AimKKPb8dsoXD1oOPfexjQGuVhDZaUbq044FtuYQuXXPYMT4+zooVK/ptZNCowAqXeU1yTKSCkY7pTbqwz7NdSV/OtkTXg7EzRzsbY22/MY7rd9D8ylibj0mFdoSmvvj4449v9BmjgvXr1/Pf//63s5a9RtL5Hd9t+xm00drGptxzjI+20+hvea0Vk/QaZ75h7DROmtekrc2rpLsnpd08xs8wlmcLSeZKw44333yT559/vpN36DuK2mZrhfC6eL2zxdcYq7Cr7ThpA/3SVskc66sPSvXWPrkGzG3MW/K9bTlwzdmup4A2dPeGUcCaNWt45plnOr5ojmeOaUxN4XL3UX1R4UlofmKbqC29OSZaH1LA0hZHaPuf9vQzsj3BPU8R2vQt2+O0o7bOcfKZzw073njjDR577LH+/gKtrdRWKFsrciytLfXuL/obtDho24c2NMeA5lfGU/PJTcF7S2j7sa/P+yTbqmzX8G/L1slRy1FXrVrFb37zm75doLUJa0cF5TPueU9vu3CKzfs7/dO24WyjsQ3L2Py73/2u/5g+pN1sF857Ddvr9LO8V9Fetu3ZepU52Dv5YjFLCoVCoVAoFAqFQqFQKBQCmzyenjVrFnvssUdHcMdq5XXXXQe0E/Y8NbfS4qlgVjgV7FF80xNCq275Ok+hFF2DNmLtS1/6EtAqnlnFlKViZSFPjGQbeFLoKfFkzJRRweabb852223XEbJTIOzb3/42MHnFWBaCp+Yp2KP4qywGT2MnG78ki2Xfffft/05GkVUDWSMpyiPDyKqLJ/zQmC2DFdQUXnrhhRc2+i7DirGxMebOndupIspAsGroNckTYUWvXNMywqCxC/zXsWiyfaBVKq2w5im6Is3ayc/IE2FFeidjnViVk5VmZSFjyaj54hZbbMGuu+7aiamK3mrPY445BuiK1RkLPVnXVtCYPZ6+uw5kkyQ87U9f9neOIFXIM8fjOQbRz884YeVTVoLxIllqyTwcdsyYMYOdd965cw0UhVOc1+pIxlz9RVZjjv6V0WAFZHA0KTTRz8EqD7T91JHD+n1Wd2QwWDnPqo6fJytJEcVkBKUY2ihg2rRpbLPNNh22m+NFFdw0RqW/DNoxfVEbac/Pf/7zAB0xYG1jtTQFK++//36gjVi3SpqVTNeWMSTt6HpzrLzVuhz7nMzDYceMGTPYaaedOuwcBRcVsbaKmOwTK9Qy9DJH/f3vfw/ADTfcADTfSOFzmR0yq2VwQhPtNLc1LuagAfdhRc0z/3T/Nbd1z03x0/+f6vkwYfr06ey8886dYRJeP/1EFslke6d7oPcF0JgdCu06ejkZyuaLMiDMV6CNpDUn1R5ZjXZt+Z0y59Qv/W5WutPWOWZ32DFjxgwWLFjQuYZLly4FWlx13WceettttwFNUD5jrfeL+rR5SO6dgyNjU6jTvMn3lEF5/PHH959j/NaWGStlbbsvZm4qRuk+A97KDz70oQ91roOxy9zUnD/jpnum4tcplPurX/0KgOXLlwObFlO1MyUZSgq7OsTAscSXXnpp/zkKYysem0NbzHn0RdnYmV/Jxnw7FLOkUCgUCoVCoVAoFAqFQiGwSWbJmjVr+Nvf/tY/PQe4+OKLgdaH6SmrJ4fQTuNkcaTWhSewVmUc5aO+BbTeTKsxySjweY5+s9qVozj92X7CrADaL2gV1ffJvuN8r1HA+Pg4TzzxBFdddVX/d1ZA7cu0HzRHmckq8IQxR03KIJFhYgUt4etl+NgXCo3R4+v/9Kc/db4PtBFSVhbyNNlTTCup9hamJocnjKMAe7PtdYamNaJ/WKXI8cDJRIFWcYTmF1auso9TONrZ3t5klvh5sgZkgSQzxXXi5+Z30+c++clPAu2EfrJ4MSpYtWoVv/3tbzun7sYg/eOb3/wm0NhX0PzCCmaOcLYH28pXVueE/iLbJGOiP1vVtoqdOlJW9Yz3S5Ys6T+m5ooxxdGkGS9OOumkjb7TsGLNmjX85S9/6VQYL7jgAqBV8tXpygqK19l4qG9BG6Otf8sQsBICbT9zDF4yh6zCGDOtuGZ1yJ/VCkpNJ6uwX/nKV4AWu63sQbeKNApYs2YNzz33XCfeqA1kXiFTJK+jmjFWiDMmazfjrnbNKpe6aca9jLted+OlrL/USTAGGH+TeaufWzn1uyXbL0dWDzveeOMNVqxY0WFaeO1lRVlNTvaHVX7/1Sb5eq+vzORklpijOlI646m2VgvBqnTqD8ly0afNmaHFWKvyMl3SF40Bo4Lx8XH+8Ic/8OSTT/Z/J7PDve+WW24BuqNarfTrQ+6B0HIWf+dzktkhY9ZcMUdQq8eg/fTJZE5od9nTuUaMqdrRe4/UZPvIRz4y2eUYSqxevZqnnnqqr38IbR90bLK2M9eAdj1lzLneoeVE5ob6ZupR2OXgPUiyzGQN+nkPP/ww0L3HU4PKGJnMIxkNMiJ8n8y/1H0cFYyPj/PUU0/1uzig5er64rJly4CuL2gT8381h6Dlj6lxMgjPFvbaay+g220iM8T7Rffs1Ff0M4wT2clgLnrzzTcDjR2aOar3U2+HYpYUCoVCoVAoFAqFQqFQKATqsKRQKBQKhUKhUCgUCoVCIbDJNpw5c+Zw4IEHdqg2tjlIN5YGl5QbRZOSbiak6Ciqo8CKNC1oQkxStqQzQqOVSoWV5p8iaY4W83WKeUETMpUCLYU92zcU9ErR2GHG3LlzOfjggzs0UCmCUs4UD7MdB9roNanZCvdAo0hJfZL+mxQ2140UfEXroFEjpS0qmJa0Kse4SX/M8Ydf+MIXgDbyTwpeUqpHqZ1q9uzZ7Lnnnh3RI6nA+qJUNVuaoI0k9RrmCEz9zHWhv6aoqm03ihImHd31Id3Z9o8U+ZXCqk9mTLDNQwq1bXeOAIOuQOYoYLvttuOKK67oUKqTCgiNLi6dEJrdpD9me8YJJ5wANEq4rQMpXKl/GHf1aWjtPgqcGRNTUNCRa1LSbTuBJuRlvDz//POBLlU12yyHHXPmzGHx4sX96wWNxq+oreJ+CpvlY4ql6T/QYqvtFrbTKHoHrfVJ4Ul9C1rcc++VEpt0fZ9jjJY6Do2Grp/7umxPyNgzCthqq6346Ec/2rGjeYF5ieLiOULZWPb3v/8d6I7hVpTyuOOOA1rczVZi6cFSulMI2fYfP9/9McWebXv0e7iXQxPeM0/yb8s2HONstvkNK7beemuWLFnSGfnqHmO7hftSxlxtZozKPc/WKXNb99kc1y5lWwHJbGnTL42/xvOM2YrsOkJVWjg0EUt9T9/MvTPHlo8C5s6dy2c/+9lOO5J/v21N/s2OHYVmE23r3gftupnza/Mcu+ye6ZhoR79Dy0uUDNBvUvRa8V5jed5rKNhuTPnMZz4D0Gk1yva6Ycf8+fM54YQT+vcE0FrghPd/trdA24+MUYp3AhxwwAFAi6uuifR3H3NcuzbN59uC5T3J5z73uf5z9H334Kuvvrr/2Kmnngq09aXofdp5lNoa4a1W+TPOOKNzv2iLtf7m3+yYc2g5qveC3pdAawvNoQHQvac0J/UeMCUZ9DPv873/THF1cyX3zttvv73/mDmp7UTG7xxTnbFnMhSzpFAoFAqFQqFQKBQKhUIh8I4Cr88++2znJNbKk5VKq8CTjeOy+p8CZJ40enroCV+Os7NyYmVAwcP8XE97PdFP8S6rKgoFpaCTp1WKdyn4c8QRR/Sf8+yzz258MYYYq1ev5o9//GOnsuFJqad5jm1VQAfaablCP3ni60hKr6NidTkiVHEnTw9TFPKUU04BWuVtstFvfidZKFkpF641RdHOOeec/mOu1VHAunXreOmllzoVyieeeAJoFQyFG/O0VraJLJIUwvN03kq3PpQjQv1ZW6QwlxUwbaB4k5+Vj/m5eVpsxU/Wgt9fZgOM1shZeOt63n///Z1qshVex3hb8U87eP1loVjtBLjsssuAJhR78sknA+16QouBnrons0QRUu3nNden8/VWEmT2Qau0+X3PPfdcoAmvDX6XYcf4+DhPPvlkZ0y5vuh+pi1S2NMqsoJwWc12DRhzHamea0CROyucye6RhSnD0/00WRP6oJ8hawKacJ5MNMdHOyoQ4Lnnnpvscgwt1q5dyz//+c8OQ8eqtaKMMk69LtCulVWtZJZ4/a3EGcvSjvq+Pp2VTNeGz7EKfcghh/SfY67l3pujg2X+uf78PlnRy+r7sGPVqlU89thjnRzPv9mcTrHjZHK5j1qFTmFQRQCt+pvH5t7pe7q/OjAAmvCy+YcM5xQcNCe2Gptxwnzbf2XPppCkldZRwZo1a3jmmWc6QwDcB2Uky5g194dWvXbcaDJnrRr7nuYluf71fUU+HU0KbR8zJ/bfzE8G974cRerPxg7tmHnwKO2LK1eu5JFHHunESplbX//614Emcpv3Ij7fvCXtY26j77kfyeqDti5kU+Y9hJ+r7/s+OZ5Y9ol7Zu6Lsmvd32XPOqYYul0Vo4CVK1d2mG7QmDSKsHofkDHRe3H3sxwm4eAQbe3+mjmFz5cJlvmNOap7nvHPAR/Q/Fx75P2i9xre83j/KqMMNi0+C8UsKRQKhUKhUCgUCoVCoVDoYEqyPgaxYMGC3k033cStt97a/50n+J4iycLIMT/2tdtTm6fgVpatjtiLm5VKT4E8fczeWnuHfb7P8eQP2smvlbsc52Xftv3XslCy4u13OuOMM/7Q6/WGXvhi99137z366KOdUziviadvVtSOPPLI/nPUq/D0MPvXPdH3ZNAT9hz16ng8R3mllob2sgdNW6V2jNUCmRI51s3TZ3sQZSfkc7TxQQcdNPR2fN/73tc799xz+2wd2Jgt4Klp9owmgwG61Wxt5om675NVLn+nT+dJsgwET/St1mU/aWrQQPe0V5vZi2xVKEff+l1uueWWobchwKJFi3qPP/44Z5xxRv939tNqD/vgL7nkkv5z9EX7MlNDwXHMjvx13Scj0BGFXtvUMJBlpo3FT37yk/7PMrZkN+jb0GKHcdeqa47TdOz34sWLh96OO+64Y2/58uUdlpXr2rjoPmOfej5HP0ltHl9ndcW1IPsAmu20b+qZ6IuuBf3U0aTQRvK5ZyYjwe+iXY2vOdbWUZyjsi/uuOOOvauuuqrPooEWU+3Ndp+S0Qpd/RHost9kGmhHq12pd+E68NomY9OKqb5jDpV7rxVymUqZOxl71QjSjqkjZUy98sorh96Ou+yyS+9HP/pRR19u0He8BsmU0x7mFsnU0xfdn8xRMreQiaB9U4dCRrN+5vdIzRH1NNyPU3PPGKsvv/jii0A3R5VBdPLJJw+9DQE+8IEP9O68886OZp73Ju597ivJHPCaqPGUrHBzF/1Tu07GxNIn9Tdoua1rxXseGSLQ9DLUXEw9E9eE9xOyT5LhtPfeewNw7LHHDr0dFy1a1FuxYgVnnnlm/3deD2OUzBI1naDZV9ZA5jZeV0eqq2GX7A9jnblm3guam8gGnEw7T5aJLKOMp96zaCe/R8YCtRFHIbeBlqPKrIK29gfHsSf7Q79yf9Se0OymbcxlMkeVxeO+lvcRao0YEz0/SM0RmXcy+fJeVO04tdjMdzKmysI99NBDJ7VHD3cRAAAGhklEQVRjMUsKhUKhUCgUCoVCoVAoFAKb1CxZu3Yt//rXvzq92Z4eWU32xCg1S9QBsXKSU1DshfLU3lMoTxeh9edaYc2TPk/gs1IDXWaLp0VWTLM6phqz1RzVlvP9Rk2zZM2aNfz5z3/uVOy93p6+T9ZHf/fddwOw7bbbAnROjFU8thImKyCrblazZQblaax29BTR658VPL+vfY+pVmylTFup2+H7wWj1g27YsIFXX32144tWQT3ttXKclU778LxeqSeiD3p6rt/kZ8gIsFKevuRpvRUgbZgK7343+7dTYduTZNldVgjytNkq26hgw4YNvPbaa50KlH+vcc7pMqnjdMUVVwBNV0aNCoBrrrkGaCwiWSNZrTzxxBOBNu0qK83G8FQvh65ehdVRY3uyUKy66OfnnXde/28VWRkfdqxfv56XX365w/oQViidSpLX1B58904V2QHuu+8+oFW67ctP5uc+++wDtCq40zqgrSGrKq4FY0I+xz3Y94O2r1vNsWKaLLOsFI0C1q1bx3/+859O7qIPuj/KRsgeeWOhLByvVT6mD2rPtKNaJ07JyH3Rypmx1P0s46ZxWjvmxCP3SPe+/fffH+hqKWTFbtixfv16XnrppU7+pl/qi+Z4yRp48MEHgXa9cwqKeaP76+C0DGgsOiuWOQ3Ha52/y9dA809tkVod5j2uOe2bOg+j5osTExOMj4939n7tNaizJYsEWsVZJpb6MtCq3+am7keZ43pttWMyFvQ9Y6P/V08Kml6RbIiMtzJmZSM4FTJ1GkZJk+3NN9/k+eef79jQPMH1rc5d6s6Y27gfmf9A05ZQL0YbZG4h00iWQcZT98jBDgrvF6Dlsd7vHHvssf3HzLeMtWoT5ffPCZyjgHXr1vHvf/+7c42NZV4rtWBSl8TpjTI08n5R1vPgvmguBE0/RM2TnDLkvmze7LrKyUf6rvqVmf+6D+rnZ599dud7wDtrXBazpFAoFAqFQqFQKBQKhUIhUIclhUKhUCgUCoVCoVAoFAqBTbbhvPnmm/z1r3/ti2hCE5uSCqeATtJppD5Jo8sxS7YB+D5SJHN0mzRuKTdJN1YsSSFQ/5/jqqTjKNyTAmpS/6WhSzNOEdoUsRwFOOrSkZPQ6J9SPhUrTOqS10oKVlL/bbVQrOr4448HuqPbpFNJi83xflLupKZLk0rxK6lXjgCUzgiN6uV7S7NLKlWuqWHH6tWreeaZZzqimVI4pfQq+GjbFDS/VCgrR4L5PH1HqnfSlaXNuQaSNjrYCpVCykIqtO08KUrpWpNWbgtXtp8kzW8U8PLLL3PPPff0RTqhtUrZsuGYtWw7s9XFuJsCsbYvaTdHrRtjoQmqGVOTijzoi9KMk+otpViKrC2S+T0VOtOHsw1Ocb5RwNq1a/nHP/7RaQ9VHE7K+COPPAJ0ad3a3HW+bNmy/mPGU31ZGyTl/Kc//SnQKM0p3qxQofFPCmuOtdU/bTlI+rDx1O8r3Tafk+NvRwHui0n3NZZJ9/b/7oXQ4p4UXun++ZitPY6LlUYOrV3NuGc7JLR8RpFQ9+xsL7UV0hGL2VajLyqq7vpJXx6lFo61a9fywgsvdPYe21dssXEPS1+0hcr8QQo+NBuaU9iKlb64fPlyoPl7tpG7nh566CGgtd9kbqR/maNmm6KxwP1Z22c8T/r4KGB8fJwnnnii0x7q3m+OLpU/W4G9Rtr22muv7T/mvYa5z+DgB6A/vMJYmvmVvuS9hnax1RFaC6uvS9FuBSbNsc1H8/Wj1BJnPM02bMWVzU1sfzM+Qcv9tZNjYqG1OOrfJ5xwAtBtz7YlRH/P9hHjp4MRJhv37t7p56b4q7mV7TjGgIzZ7zRydtjw6quvcv/993dGnXtNtMMNN9wANFkLaAK7tgtmjqokgz5gy022pNmm5r1G3ocbg21XNm7m/Yj3E6eddhrQxIQB9thjD6DlseYyTz/9dP857+SLxSwpFAqFQqFQKBQKhUKhUAhscnTwlClT/i/wf972CaOP9/V6vfnv/LT/2Sg7Dr8dy4bDb0MoOzICdiwbDr8NoezICNixbDj8NoSyIyNgx7Lh8NsQyo68jR03eVhSKBQKhUKhUCgUCoVCofC/DdWGUygUCoVCoVAoFAqFQqEQqMOSQqFQKBQKhUKhUCgUCoVAHZYUCoVCoVAoFAqFQqFQKATqsKRQKBQKhUKhUCgUCoVCIVCHJYVCoVAoFAqFQqFQKBQKgf8HmTgLbYbUVMcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x288 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_reconstructions(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you remove the non-linearity, what are you doing?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA ! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stacked Auto-Encoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class DeepAutoEncoder(nn.Module):\n",
    "    def __init__(self, input_dim, encoding_dim):\n",
    "        super(DeepAutoEncoder, self).__init__()\n",
    "        self.encoder = nn.Sequential(\n",
    "            nn.Linear(input_dim, 128),\n",
    "            nn.ReLU(True),\n",
    "            nn.Linear(128, 64),\n",
    "            nn.ReLU(True), \n",
    "            nn.Linear(64, encoding_dim), \n",
    "            nn.ReLU(True),\n",
    "        )\n",
    "        self.decoder = nn.Sequential(\n",
    "            nn.Linear(encoding_dim, 64),\n",
    "            nn.ReLU(True),\n",
    "            nn.Linear(64, 128),\n",
    "            nn.ReLU(True), \n",
    "            nn.Linear(128, input_dim),\n",
    "        )\n",
    "    def forward(self, x):\n",
    "        x = self.encoder(x)\n",
    "        x = self.decoder(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "input_dim = 784\n",
    "encoding_dim = 32\n",
    "\n",
    "model = DeepAutoEncoder(input_dim, encoding_dim)\n",
    "model = model.to(device)\n",
    "optimizer = optim.Adam(model.parameters())\n",
    "loss_fn = torch.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "train_model(model, loss_fn,data_loader=train_loader,epochs=10,optimizer=optimizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_reconstructions(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise\n",
    "\n",
    "- Change the loss to a nn.BCEWithLogits() loss. \n",
    "\n",
    "- Implement a weight sharing AE, for which the decoder weight matrix is just the transpose of the encoder weight matrix.\n",
    "\n",
    "- You may use F.linear(x, weight_matrix)\n",
    "\n",
    "A rapid google search gives:\n",
    "\n",
    "https://discuss.pytorch.org/t/how-to-create-and-train-a-tied-autoencoder/2585"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "class TiedAutoEncoder(nn.Module):\n",
    "    def __init__(self, input_dim, encoding_dim):\n",
    "        super().__init__()\n",
    "        self.encoder = nn.Linear(input_dim, encoding_dim, bias=False)\n",
    "        self.decoder = lambda x : F.linear(x, self.encoder.weight.t())\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.encoder(x)\n",
    "        x = F.linear(x, self.encoder.weight.t())\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_dim = 784\n",
    "encoding_dim = 32\n",
    "\n",
    "model = TiedAutoEncoder(input_dim, encoding_dim)\n",
    "model = model.to(device)\n",
    "optimizer = optim.Adam(model.parameters())\n",
    "loss_fn = torch.nn.BCEWithLogitsLoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_model(model, loss_fn,data_loader=train_loader,epochs=10,optimizer=optimizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x288 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_reconstructions(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convolutional Auto-Encoder\n",
    "\n",
    "Deconvolution are creating checkboard artefacts see [Odena et al.](https://distill.pub/2016/deconv-checkerboard/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class ConvolutionalAutoEncoder(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(ConvolutionalAutoEncoder, self).__init__()\n",
    "        self.encoder = nn.Sequential(\n",
    "            nn.Conv2d(1, 16, 3, stride=3, padding=1),  # b, 16, 10, 10\n",
    "            nn.ReLU(True),\n",
    "            nn.MaxPool2d(2, stride=2),  # b, 16, 5, 5\n",
    "            nn.Conv2d(16, 8, 3, stride=2, padding=1),  # b, 8, 3, 3\n",
    "            nn.ReLU(True),\n",
    "            nn.MaxPool2d(2, stride=1)  # b, 8, 2, 2\n",
    "        )\n",
    "        self.decoder = nn.Sequential(\n",
    "            nn.ConvTranspose2d(8, 16, 3, stride=2),  # b, 16, 5, 5\n",
    "            nn.ReLU(True),\n",
    "            nn.ConvTranspose2d(16, 8, 5, stride=3, padding=1),  # b, 8, 15, 15\n",
    "            nn.ReLU(True),\n",
    "            nn.ConvTranspose2d(8, 1, 2, stride=2, padding=1),  # b, 1, 28, 28\n",
    "        )\n",
    "        \n",
    "    def forward(self, x):\n",
    "        x = self.encoder(x)\n",
    "        x = self.decoder(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model = ConvolutionalAutoEncoder()\n",
    "model = model.to(device)\n",
    "optimizer = optim.Adam(model.parameters())\n",
    "loss_fn = torch.nn.BCEWithLogitsLoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why is \n",
    "\n",
    "`train_model(model,loss_fn,data_loader=train_loader,epochs=10,optimizer=optimizer)` \n",
    "\n",
    "not working? Make the necessary modification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def train_convmodel(model, loss_fn,data_loader=None,epochs=1,optimizer=None):\n",
    "    model.train()\n",
    "    for epoch in range(epochs):\n",
    "        for batch_idx, (data, _) in enumerate(train_loader):\n",
    "            \n",
    "            data = data.to(device)\n",
    "            optimizer.zero_grad()\n",
    "            output = model(data)\n",
    "            loss = loss_fn(output, data)\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            \n",
    "            if batch_idx % 100 == 0:\n",
    "                print('Train Epoch: {} [{}/{} ({:.0f}%)]\\tLoss: {:.6f}'.format(\n",
    "                    epoch, batch_idx * len(data), len(data_loader.dataset),\n",
    "                    100. * batch_idx / len(data_loader), loss.data.item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_convmodel(model, loss_fn,data_loader=train_loader,epochs=10,optimizer=optimizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_reconstructions(model, conv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise\n",
    "\n",
    "Implement a denoising AE:\n",
    "\n",
    "![denoising AE](img/denoisingAE.png)\n",
    "\n",
    "\n",
    "Use previous code and with minimal modifications, transform your AE in a denoising AE.\n",
    "\n",
    "Why is this not working well? Try to improve the denoising performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You should obtain results like this:\n",
    "\n",
    "![res_denoise](img/denoiseAE.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def train_denoiser(model,loss_fn,data_loader=None,epochs=1,optimizer=None, noise=0.1):\n",
    "    model.train()\n",
    "    for epoch in range(epochs):\n",
    "        for batch_idx, (data, _) in enumerate(train_loader):\n",
    "            data = data.to(device)\n",
    "            noisy_data = data + noise*torch.randn(data.size())\n",
    "            optimizer.zero_grad()\n",
    "            output = model(noisy_data)\n",
    "            loss = loss_fn(output, data)\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            \n",
    "            if batch_idx % 100 == 0:\n",
    "                print('Train Epoch: {} [{}/{} ({:.0f}%)]\\tLoss: {:.6f}'.format(\n",
    "                    epoch, batch_idx * len(data), len(data_loader.dataset),\n",
    "                    100. * batch_idx / len(data_loader), loss.data.item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_denoising(model, conv=False, noise=0.1):\n",
    "    \"\"\"\n",
    "    Plot 10 reconstructions from the test set. The top row is the original\n",
    "    digits, the bottom is the decoder reconstruction.\n",
    "    The middle row is the encoded vector.\n",
    "    \"\"\"\n",
    "    # encode then decode\n",
    "    data, _ = next(iter(test_loader))\n",
    "    data = data.to(device)\n",
    "    data += noise * torch.randn(data.size())\n",
    "    if not conv:\n",
    "        data = data.view([-1, 784])\n",
    "    data.requires_grad = False\n",
    "    true_imgs = data\n",
    "    encoded_imgs = model.encoder(data)\n",
    "    decoded_imgs = model.decoder(encoded_imgs)\n",
    "    \n",
    "    true_imgs = to_img(true_imgs)\n",
    "    decoded_imgs = to_img(decoded_imgs)\n",
    "    encoded_imgs = encoded_imgs.cpu().data.numpy()\n",
    "    \n",
    "    n = 10\n",
    "    plt.figure(figsize=(20, 4))\n",
    "    for i in range(n):\n",
    "        # display original\n",
    "        ax = plt.subplot(3, n, i + 1)\n",
    "        plt.imshow(true_imgs[i])\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "        \n",
    "        ax = plt.subplot(3, n, i + 1 + n)\n",
    "        plt.imshow(encoded_imgs[i].reshape(-1,4))\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "\n",
    "        # display reconstruction\n",
    "        ax = plt.subplot(3, n, i + 1 + n + n)\n",
    "        plt.imshow(decoded_imgs[i])\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model = ConvolutionalAutoEncoder()\n",
    "model = model.to(device)\n",
    "optimizer = optim.Adam(model.parameters())\n",
    "loss_fn = torch.nn.BCEWithLogitsLoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_denoiser(model, loss_fn,data_loader=train_loader,epochs=10,optimizer=optimizer, noise=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_denoising(model, conv=True, noise=0.3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A nice visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loss :  6.61021614074707\n",
      "Loss :  5.034561634063721\n",
      "Loss :  2.294809103012085\n",
      "Loss :  1.0630886554718018\n",
      "Loss :  0.11146117746829987\n",
      "Loss :  0.030795522034168243\n",
      "Loss :  0.02675958164036274\n",
      "Loss :  0.02097906731069088\n",
      "Loss :  0.018954424187541008\n",
      "Loss :  0.014736291021108627\n",
      "Loss :  0.01352670881897211\n",
      "Loss :  0.010742094367742538\n",
      "Loss :  0.009944874793291092\n",
      "Loss :  0.008103766478598118\n",
      "Loss :  0.007482525426894426\n",
      "Loss :  0.006189356558024883\n",
      "Loss :  0.0056585585698485374\n",
      "Loss :  0.004822001792490482\n",
      "Loss :  0.004447463899850845\n",
      "Loss :  0.003932903986424208\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from itertools import product\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "n_batches = 100\n",
    "batch_size = 1000\n",
    "thetas = np.random.uniform(0, 2*np.pi, batch_size*n_batches)\n",
    "points = [[np.cos(theta)*theta, np.sin(theta)*theta] for theta in thetas]\n",
    "dataset = torch.Tensor(points).view(n_batches,batch_size,-1)\n",
    "for point in dataset[0]:\n",
    "    plt.scatter(point[0], point[1], lw=10, color='red')\n",
    "dataset += 0.3*torch.randn(dataset.size())\n",
    "for point in dataset[0]:\n",
    "    plt.scatter(point[0], point[1], lw=10, color='grey', alpha=0.5)\n",
    "\n",
    "    \n",
    "class SimpleAutoEncoder(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(SimpleAutoEncoder, self).__init__()\n",
    "        self.encoder = nn.Sequential(\n",
    "            nn.Linear(2,10),\n",
    "            nn.ReLU(True),\n",
    "            nn.Linear(10,20),\n",
    "        )\n",
    "        self.decoder = nn.Sequential(\n",
    "            nn.Linear(20,10),\n",
    "            nn.ReLU(True),\n",
    "            nn.Linear(10,2),\n",
    "        )\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.encoder(x)\n",
    "        x = self.decoder(x)\n",
    "        return x\n",
    "    \n",
    "model = SimpleAutoEncoder()\n",
    "crit = nn.MSELoss()\n",
    "opt = optim.Adam(model.parameters(), lr=0.001)\n",
    "\n",
    "def train(model, dataset, epochs=10):\n",
    "    for epoch in range(epochs):\n",
    "        for batch_idx, data in enumerate(dataset):\n",
    "            opt.zero_grad()\n",
    "            out = model(data)\n",
    "            loss = crit(out,data)\n",
    "            loss.backward()\n",
    "            opt.step()\n",
    "            if batch_idx%50 == 0:\n",
    "                print('Loss : ', loss.item())\n",
    "                \n",
    "train(model, dataset, epochs=10)\n",
    "\n",
    "x_arr = torch.linspace(-4,6,20)\n",
    "y_arr = torch.linspace(-6,3,20)\n",
    "new_x_arr = []\n",
    "new_y_arr = []\n",
    "for x, y in product(x_arr, y_arr):\n",
    "    point = torch.Tensor([x,y])\n",
    "    new_x, new_y = model(point).data.numpy()\n",
    "    new_x_arr.append(new_x)\n",
    "    new_y_arr.append(new_y)\n",
    "    plt.arrow(x, y, new_x-x, new_y-y, head_width=0.1, color='blue')\n",
    "    \n",
    "plt.xlim([-4,6])\n",
    "plt.ylim([-6,3])\n",
    "plt.title('Vector field $\\hatx - x$ for a denoising encoder', fontsize=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
